Publications
Grigory Isaakovich Barenblatt
- Barenblatt, G. I. (1950), On a method of solution of the heat conduction equation.
Doklady, USSR Academy of Sciences, 72, No. 4, pp. 667-670 (in Russian).
- Barenblatt, G. I. (1950), On the solution of the heat conduction equation with a
non-homogeneous boundary condition. Doklady, USSR Academy of Sciences, 74,
No. 2, pp. 201-204 (in Russian).
- Barenblatt, G. I., and Levitan, B. M. (1951), On a generalization of the Poisson
formula in the theory of heat conduction. Doklady, USSR Academy of Sciences, 79, No. 6, pp. 917-920 (in Russian).
- Barenblatt, G. I. (1952), On some unsteady fluid and gas motions in a porous
medium. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 16, No. 1, pp. 67-78 (in Russian).
- Barenblatt, G. I., and Levitan, B. M. (1952), On some boundary value problems for
the turbulent heat conduction equation. Izvestiya (Bulletin), USSR Academy of
Sciences, Ser. Math. 16, No. 3, pp. 253-280 (in Russian).
- Barenblatt, G. I. (1952), On self-similar motions of compressible fluid in a porous
medium. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 16, No. 6, pp. 679-698 (in Russian).
- Barenblatt, G. I. (1953), On the motion of suspended particles in a turbulent
flow. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 17, No. 3, pp. 261-274 (in Russian).
- Barenblatt, G. I. (1953), On the propagation of instantaneous perturbations in a
medium with a nonlinear stress-strain relation. Prikladnaya Matematika i Mekhanika
(Applied Mathematics and Mechanics
(PMM)), 17, No. 4, pp. 455-460 (in Russian).
- Barenblatt, G. I. (1953), On a class of exact solutions of plane one-dimensional
problem of unsteady filtration of gas in a porous medium. Prikladnaya Matematika
i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 17, No. 6, pp. 739-742 (in Russian).
- Barenblatt, G. I. (1954), On approximate solution of the problems of
one-dimensional unsteady filtration in a porous medium. Prikladnaya Matematika
i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 18, No. 3, pp. 351-370 (in Russian).
- Barenblatt, G. I. (1954), On the limiting self-similar solutions in the theory of
unsteady filtration of a gas in a porous medium, and in the theory of boundary
layer. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 18, No. 4, pp. 409-414 (in Russian).
- Barenblatt, G. I. (1954), On some problems of unsteady filtration. Izvestiya
(Bulletin), USSR Academy of Sciences, Division of Technical Sciences, No. 6,
pp. 97-110 (in Russian).
- Barenblatt, G. I. (1954), On some approximate methods in the theory of
one-dimensional unsteady filtration in the elastic drive regime. Izvestiya
(Bulletin), USSR Academy of Sciences, Division of Technical Sciences, No. 9,
pp. 35-49 (in Russian).
- Barenblatt, G. I. (1955), On the motion of suspended particles in a turbulent flow
in a half-space or a plane open channel of finite depth. Prikladnaya Matematika
i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 19, No. 1, pp. 61-88 (in Russian).
- Barenblatt, G. I., and Krylov, A. P. (1955), On the elasto-plastic filtration
drive. Izvestiya (Bulletin), USSR Academy of Sciences, Division of Technical
Sciences, No. 2, pp. 5-13 (in Russian).
- Barenblatt, G. I. (1955), On some problems of pressure recovery and unloading wave
propagation in the elasto-plastic filtration drive. Izvestiya (Bulletin), USSR Academy of Sciences, Division of Technical
Sciences, No. 2, pp. 14-26 (in Russian).
- Barenblatt, G. I., and Shestakov, V. M. (1955), On the filtration into a dry
ground. Gidrotekhnicheskoye Stroitelstvo (Hydrotechnical Construction), No. 1,
pp. 40-41 (in Russian).
- Krylov, A. P., and Barenblatt, G. I. (1955), On the oil stratum elasto-plastic
drive. Proceedings of the Fourth World Petroleum Congress, Rome, 1955, Volume 2,
Drilling, Production, Colombo, Rome, 1956, pp. 573-578.
- Barenblatt, G. I. (1955), On some queries in the theory of motion of suspended
particles in a turbulent flow. Vestnik (Bulletin) of Moscow University, Serie 1,
Mathematics and Mechanics, No. 8, pp. 53-56 (in Russian).
- Barenblatt, G. I., and Christianovich, S. A. (1955), On the fracture of roof in
mine working. Izvestiya (Bulletin), USSR Academy of Sciences, Division of Technical
Sciences, No. 11, pp. 73-86 (in Russian).
- Barenblatt, G. I., and Trifonov, N. P. (1956), On some axisymmetric problems of
unsteady filtration of fluid and gas in a porous medium. Izvestiya (Bulletin),
USSR Academy of Sciences, Division of Technical
Sciences, No. 1, pp. 59-70 (in Russian).
- Barenblatt, G. I., and Vishik, M. I. (1956), On the finite speed of propagation in
the problems of unsteady filtration of fluid and gas in a porous medium.
Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics (PMM)), 20, No. 3, pp. 411-417 (in Russian).
- Barenblatt, G. I. (1956), On certain problems of the theory of elasticity arising
in the studies of the mechanism of the hydraulic fracturing of the oil-bearing
strata. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 20, No. 4, pp. 475-486 (in Russian).
- Barenblatt, G. I. (1956), On the extension of the coke channel during the coal
processing by the electric current. Doklady, USSR Academy of Sciences, 108,
No. 2, pp. 239-242 (in Russian).
- Barenblatt, G. I., and Shestakov, V. M. (1956), On the determination of the
coefficient of filtration and active porosity using the data of water pouring into
the dry ground. Razvedka i Okhrana nedr (Prospecting and Protection of Mineral
Wealth), No. 8, pp. 43-46 (in Russian).
- Barenblatt, G. I. (1956), On the extension of the conducting channel during the
processing of solid combustibles by electric current. Izvestiya (Bulletin), USSR
Academy of Sciences, Division of Technical Sciences, No. 7, pp. 125-128 (in
Russian).
- Barenblatt, G. I. (1956), On the formation of horizontal cracks in the hydraulic
fracturing of oil-bearing strata. Izvestiya (Bulletin), USSR
Academy of Sciences, Division of Technical Sciences, No. 9, pp. 101-105 (in
Russian).
- Barenblatt, G. I. (1956), On a possibility of the linearization in certain problems
of unsteady gas filtration. Izvestiya (Bulletin), USSR
Academy of Sciences, Division of Technical Sciences, No. 11, pp. 111-113 (in
Russian).
- Barenblatt, G. I. (1956), On the self-similar solutions to the Cauchy problem for a
nonlinear parabolic equation of the unsteady gas filtration in a porous medium.
Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 20, No. 6, pp. 761-763 (in Russian).
- Christianovich, S. A., Zheltov, Yu. P., and Barenblatt, G. I. (1957), On the
mechanism of the hydraulic fracturing of the oil-bearing strata. Neftyanoye
Khozyaistvo (Oil Industry), No. 1, pp. 44-52 (in Russian).
- Barenblatt, G. I., Borisov, Yu. P., Kamenetsky, S. G., and Krylov, A. P. (1957),
On the determination of the oil-bearing strata parameters by processing the
pressure recovery data in the stopped oil-wells. Izvestiya (Bulletin), USSR
Academy of Sciences, Division of Technical Sciences, No. 11, pp. 84-91 (in
Russian).
- Barenblatt, G. I., and Zeldovich, Ya. B. (1957), On the dipole-type solution in the
problems of unsteady gas filtration in a polytropic regime. Prikladnaya
Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 21, No. 5, pp. 718-720 (in Russian).
- Barenblatt, G. I., and Zeldovich, Ya. B. (1957), On the stability of flame
propagation. Prikladnaya Matematika i Mekhanika (Applied Mathematics and Mechanics
(PMM)), 21, No. 6, pp. 856-859 (in Russian).
- Zeldovich, Ya. B., and Barenblatt, G. I. (1958), On the asymptotic properties of
self-similar solutions of the equations of unsteady gas filtration. Doklady, USSR
Academy of Sciences, 118, No. 4, pp. 671-674 (in Russian).
- Barenblatt, G. I. (1958), On the calculation of the pressure distribution under the
conditions of an elastic drive and variable oil-well debits. Trudy (Proceedings),
Institute of Petroleum, USSR Academy of Sciences, Vol. XI, pp. 165-169 (in
Russian).
- Barenblatt, G. I., and Maximov, V. A. (1958), On the influence of the
inhomogeneities on the determination of parameters of oil-bearing strata by
processing the data of unsteady inflow into the oil-wells. Izvestiya (Bulletin), USSR
Academy of Sciences, Division of Technical Sciences, No. 7, pp. 49-55 (in
Russian).
- Zeldovich, Ya. B., and Barenblatt, G. I. (1959), Theory of flame propagation.
Combustion and Flame, 3, No. 1, pp. 61-74.
- Barenblatt, G. I. (1959), On equilibrium cracks, formed in brittle fracture.
Doklady, USSR Academy of Sciences, 127, No. 1, pp. 47-50 (in Russian).
- Barenblatt, G. I. (1959), On equilibrium cracks formed in brittle fracture.
General concepts and hypotheses. Axisymmetric cracks. Prikladnaya Matematika i
Mekhanika, 23, No. 3, pp. 434-444 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 23, No. 3, pp. 622-636 (English Translation).
- Barenblatt, G. I. (1959), On equilibrium cracks formed in brittle fracture.
Rectilinear cracks in plane plates. Prikladnaya Matematika i
Mekhanika, 23, No. 4, pp. 706-721 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 23, No. 4, pp. 1009-1029 (English Translation).
- Barenblatt, G. I. (1959), On equilibrium cracks formed in brittle fracture. The
stability of isolated cracks. Connection with energetic theories. Prikladnaya Matematika i
Mekhanika, 23, No. 5, pp. 893-900 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 23, No. 5, pp. 1273-1282 (English Translation).
- Barenblatt, G. I. (1959), Problem of thermal self-ignition. In: Gelfand, I. M.,
"Some Problems in the Theory of Quasi-Linear Equations", Uspekhi Matematicheskikh
Nauk, 14, No. 2, pp. 137-142 (in Russian); American Mathematical Society
Translation, Series 2, 29, pp. 355-361 (English Translation).
- Christianovich, S. A., Zheltov, Yu. P., Barenblatt, G. I., and Maximovich, G. K.
(1959), Theoretical Principles of hydraulic fracturing of oil strata. Proceedings,
Fifth World Petroleum Congress, New York, 1959, Vol. 2, Paper 23, pp. 289-296;
Publisher: New York World Petroleum Congress, Inc., New York, 1960.
- Barenblatt, G. I. (1960), On the conditions of finiteness in the continuum
mechanics. Static problems of elasticity. Prikladnaya Matematika i
Mekhanika, 24, No. 2, pp. 316-322 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 24, No. 2, pp. 453-461 (English Translation).
- Barenblatt, G. I., and Zheltov, Yu. P. (1960), On the basic equations of the
filtration of homogeneous fluids in fissurized rocks. Doklady, USSR Academy of
Sciences, 132, No. 3, pp. 545-548 (in Russian).
- Barenblatt, G. I., and Cherepanov, G. P. (1960), On the influence of the boundaries
of bodies on the extension of cracks in brittle fracture. Izvestiya (Bulletin),
USSR Academy of Sciences, Mekhanika i Mashinostroenie (Mechanics and Machinery
Construction), No. 3, pp. 79-88; corrigenda, ibid., No. 1, p. 153 (1962) (in
Russian).
- Barenblatt, G. I., and Cherepanov, G. P. (1960), On the wedging of brittle bodies.
Prikladnaya Matematika i
Mekhanika, 24, No. 4, pp. 667-682 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 24, No. 4, pp. 993-1014 (English Translation).
- Barenblatt, G. I., Zheltov, Yu. P., and Kochina, I. N. (1960), Basic concepts in
the theory of seepage of homogeneous fluids in fissurized rocks.
Prikladnaya Matematika i
Mekhanika, 24, No. 5, pp. 852-864 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 24, No. 5, pp. 1286-1303 (English Translation).
- Barenblatt, G. I. (1960), On the determination of the parameters of oil-bearing
strata by processing of the pressure recovery curves. Trudy (Proceedings),
Institute of Geology and Development of Combustible Fossils, USSR Academy of
Sciences, Vol. II, pp. 153-158 (in Russian).
- Barenblatt, G. I., and Cherepanov, G. P. (1961), On the equilibrium and propagation
of cracks in an anisotropic medium. Prikladnaya Matematika i
Mekhanika, 25, No. 1, pp. 46-55 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 25, No. 1, pp. 61-74 (English Translation).
- Barenblatt, G. I. (1961), On some basic ideas of the theory of the equilibrium
cracks forming during brittle fracture. In: "Problems of Continuum Mechanics",
M. A. Lavrentiev (ed.), Publishing House of USSR Academy of Sciences, pp. 29-44 (in
Russian); SIAM, Philadelphia, pp. 21-38 (in English).
- Barenblatt, G. I., and Cherepanov, G. P. (1961), On the finiteness of sresses at
the edge of an arbitrary crack. Prikladnaya Matematika i
Mekhanika, 25, No. 4, pp. 752-753 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 25, No. 4, pp. 1112-1115 (English Translation).
- Barenblatt, G. I. (1961/1962), Mathematical theory of equilibrium cracks in brittle
fracture. J. of Applied Mechanics and Technical Physics, No. 4, pp. 3-56 (1961)
(in Russian); Advances in Applied Mechanics, VII, pp. 55-129 (1962) (in
English).
- Zeldovich, Ya. B., Barenblatt, G. I., and Salganik, R. L. (1961), On the
quasiperiodic precipitation of sediment under mutual diffusion of two substances
(Liesegang's rings). Doklady, USSR Academy of Sciences, 140, No. 6,
pp. 1281-1284 (in Russian).
- Barenblatt, G. I., and Cherepanov, G. P. (1961), On the antiplane brittle cracks.
Prikladnaya Matematika i
Mekhanika, 25, No. 6, pp. 1110-1119 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 25, No. 6, pp. 1654-1666 (English Translation).
- Barenblatt, G. I., Salganik, R. K., and Cherepanov, G. P. (1962), On the unsteady
propagation of cracks. Prikladnaya Matematika i
Mekhanika, 26, No. 2, pp. 328-334 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 26, No. 2, pp. 469-477 (English Translation).
- Ishlinsky, A. Yu., and Barenblatt, G. I. (1962), On the impact of a visco-plastic rod
on a rigid obstacle. Doklady, USSR Academy of Sciences, 144, No. 4,
pp. 734-737 (in Russian).
- Barenblatt, G. I., and Ishlinsky, A. Yu. (1962), On the impact of a visco-plastic
rod on a rigid obstacle. Prikladnaya Matematika i
Mekhanika, 26, No. 3, pp. 497-502 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 26, No. 3, pp. 740-748 (English Translation).
- Barenblatt, G. I., Istratov, A. G., and Zeldovich, Ya. B. (1962), On the
diffusion-thermal stability of a laminar flame. J. Applied Mechanics and Technical
Physics, No. 4, pp. 21-26 (in Russian).
- Barenblatt, G. I. (1963), On some boundary-value problems for the equation of
filtration of fluid in fissurized rocks. Prikladnaya Matematika i
Mekhanika, 27, No. 2, pp. 348-350 (in Russian); J. Applied Mathematics and
Mechanics (PMM), 27, No. 2, pp. 513-518 (English Translation).
- Barenblatt, G. I., and Salganik, R. L. (1963), On the wedging of brittle bodies,
The self-oscillations in wedging. Prikladnaya Matematika i Mekhanika, 27,
No. 3, pp. 436-449 (in Russian); J. Applied Mathematics and Mechanics, 27,
No. 3, pp. 656-673 (English Translation).
- Barenblatt, G. I., and Chernyi, G. G. (1963), On the moment relations on the
discontinuity surfaces in dissipative media. Prikladnaya Matematika i Mekhanika,
27,
No. 5, pp. 784-793 (in Russian); J. Applied Mathematics and Mechanics (PMM), 27, No. 5, pp. 1205-1218 (English Translation).
- Barenblatt, G. I., and Salganik, R. L. (1963), Self-oscillations during the wedging
of slender bodies. Prikladnaya Matematika i Mekhanika, 27,
No. 6, pp. 1075-1077 (in Russian); J. Applied Mathematics and Mechanics (PMM), 27, No. 6, pp. 1644-1648 (English Translation).
- Barenblatt, G. I., and Gorodtsov, V. A. (1964), On the structure of the field of
the microstresses in a developed plastic flow. Prikladnaya Matematika i Mekhanika,
28,
No. 2, pp. 326-334 (in Russian); J. Applied Mathematics and Mechanics (PMM), 28, No. 2, pp. 397-406 (English Translation).
- Barenblatt, G. I. (1964), On some estimates for the specific surface of the cracks
formed at a dynamic action on a solid. J. Applied Mechanics and Technical Physics,
No. 4, pp. 75-77 (in Russian).
- Barenblatt, G. I. (1964), On some general concepts of the mathematical theory of
brittle fracture. Prikladnaya Matematika i Mekhanika, 28,
No. 4, pp. 630-643 (in Russian); J. Applied Mathematics and Mechanics (PMM), 28, No. 4, pp. 778-792 (English Translation).
- Barenblatt, G. I. (1964), On the motion of gas-liquid mixtures in the
fissurized-porous rocks. Izvestiya (Bulletin), USSR Academy of Sciences, Mekhanika
i Mashinostroenie (Mechanics and Machinery Construction), No. 3, pp. 47-50 (in
Russian).
- Barenblatt, G. I. (1964), On the neck propagation under tension of polymeric
specimens. Prikladnaya Matematika i Mekhanika, 28,
No. 6, pp. 1048-1060 (in Russian); J. Applied Mathematics and Mechanics (PMM), 28, No. 6, pp. 1264-1276 (English Translation).
- Barenblatt, G. I., Bulina, I. G., and Myasnikov, V. P. (1965), The influence of the
solutions of some high-molecular-weight compounds on the drag reduction in the
turbulent flow around the bodies. J. Applied Mechanics and Technical Physics, 5, No. 3, pp. 95-96 (in Russian); 5, No. 3, pp. 66-67 (English
Translation).
- Barenblatt, G. I., Bulina, I. G., Myasnikov, V. P., and Sholomovich, G. I. (1965),
On the influence of small additions of soluble high-molecular-weight compounds on
the regime of fluid flow. J. Applied Mechanics and Technical Physics, 5,
No. 4, pp. 137-138 (in Russian); 5, No. 4, pp. 92-93 (English Translation).
- Barenblatt, G. I., Bulina, I. G., Zeldovich, Ya. B., Kalashnikov, V. N., and
Sholomovich, G. I. (1965), On a possible mechanism of the influence of small
additives of high-molecular-weight compounds on the turbulence. J. Applied
Mechanics and Technical Physics, 5, No. 5, pp. 147-148 (in Russian); 5, No. 5, pp. 103-104 (English Translation).
- Barenblatt, G. I., Kozyrev, Yu. I., Malinin, N. I., Pavlov, D. Ya., and
Shesterikov, S. A. (1965), On the vibrocreep of the polymeric materials. J.
Applied Mechanics and Technical Physics, 5, No. 5, pp. 68-75 (in Russian);
5, No. 5, pp. 44-48 (English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1965), On the propagation of
a perturbation pulse in an electrochemical diffusional nerve model. Prikladnaya
Matematika i Mekhanika, 29,
No. 6, pp. 977-992 (in Russian); J. Applied Mathematics and Mechanics (PMM), 29, No. 6, pp. 1155-1171 (English Translation).
- Barenblatt, G. I., Kozyzev, Yu. I., Malinin, N. I., Pavlov, D. Ya., and
Shesterikov, S. A. (1966), On the vibrocreep of polymeric materials. Doklady, USSR
Academy of Sciences, 166, No. 4, pp. 813-816 (in Russian).
- Barenblatt, G. I. (1966), Effects of small vibrations on the deformation of
polymers. Prikladnaya Matematika i Mekhanika, 30,
No. 1, pp. 73-81 (in Russian); J. Applied Mathematics and Mechanics (PMM), 30, No. 1, pp. 85-95 (English Translation).
- Barenblatt, G. I., Kozyzev, Yu. I., Malinin, N. I., Pavlov, D. Ya., and
Shesterikov, S. A. (1966), On thermal vibrocreep of polymers. In: "Recent
Progress in Applied Mechanics", Folke Odquist Volume; F. I. Niordson (ed.), J.
Wiley, New York, pp. 19-32.
- Barenblatt, G. I. (1966), On the structure of fully developed plastic flow in
polymers. Proc. Eleventh International Congress on Applied Mechanics, Munich,
Germany, 1964; Springer Verlag, Berlin, H. Görtler (ed.), pp. 575-581.
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1966), Kinetics of crack
extension. General considerations. Cracks close to equilibrium state.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 1, No. 5, pp. 82-92 (in
Russian); Engineering Journal, Mechanics of Solids, 1, No. 5, pp. 53-89
(English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1966), Kinetics of crack
extension. The conditions of fracture, and long-term strength.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 1, No. 6, pp. 76-80 (in
Russian); Engineering Journal, Mechanics of Solids, 1, No. 6, pp. 49-51
(English Translation).
- Barenblatt, G. I., Bulina, I. G., Kalashnikov, V. N., and Kalinichenko, N. M.
(1966), On the structure of weak polymeric solutions, displaying the effect of
turbulence damping. J. Applied Mechanics and Technical Physics, 7, No. 6,
pp. 108-110 (in Russian); 7, No. 6, pp. 77-78 (English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1967), Kinetics of crack
extension. Fluctuation fracture.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 2, No. 1, pp. 122-129 (in
Russian); Engineering Journal, Mechanics of Solids, 2, No. 1, pp. 79-82
(English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1967), Kinetics of crack
extension. A note concerning the rule of the damage summation.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 2, No. 2, pp. 148-150 (in
Russian); Engineering Journal, Mechanics of Solids, 2, No. 2, pp. 100-101
(English Translation).
- Barenblatt, G. I., Vsevolodov, N. I., Mirkin, L. I., Pilipetsky, N. F., and Rayzer,
Yu. P. (1967), Destruction of transparent materials by laser radiation. Formation
of gas bubbles and wedging of the material by gas pressure. Zhurnal
Experimentalnoi i Teoreticheskoi Fiziki, Pis'ma, 1 February 1967, 5, No. 3, pp. 85-87 (in Russian); JETP Letters (USA), 1 February 1967, 5,
No. 3, pp. 69-71 (English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1967), On the influence of
the vibration heating on crack propagation in polymers.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 2, No. 6, pp. 47-58 (in
Russian); Engineering Journal, Mechanics of Solids, 2, No. 6, pp. 27-33
(English Translation).
- Barenblatt, G. I., and Christianovich, S. A. (1968), On the cohesion modulus in the
theory of cracks.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 3, No. 2, pp. 70-75 (in
Russian); Engineering Journal, Mechanics of Solids, 3, No. 2, pp. 66-70
(English Translation).
- Barenblatt, G. I., Marin, O. E., Pilipetsky, N. F., and Upadyshev, V. A. (1968),
Effect of stresses on the orientation of laser destruction cracks in transparent
dielectrics. Zhurnal Experimentalnoi i Teoreticheskoi Fiziki, 54, No. 5,
pp. 1337-1340 (in Russian); Soviet Physics, JETP (USA), 54, No. 5,
pp. 1337-1340 (English Translation).
- Barenblatt, G. I., and Kalashnikov, V. N. (1968), Effect of supramolecular
formations on turbulence in dilute polymeric solutions. Izvestiya (Bulletin), USSR
Academy of Sciences, Mekhanika Zhidkosti i Gasa (Mechanics of Fluid and Gas), 3, No. 3, pp. 68-73 (in Russian); Fluid Dynamics, 3, pp. 45-48 (English
Translation).
- Barenblatt, G. I., Kalashnikov, V. N., and Kudin, A. M. (1968), Hot-Wire Anemometer
Study of the structure of Polymer Solutions. Journal of Applied Mechanics and
Technical Physics, 9, No. 5, pp. 118-122 (in Russian); 9, No. 5,
pp. 610-612 (English Translation).
- Barenblatt, G. I. (1968), On some problems of mechanics of brittle fracture.
Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, 3, No. 6, pp. 153-164 (in
Russian); Engineering Journal, Mechanics of Solids, 3, No. 6, pp. 150-160
(English Translation).
- Barenblatt, G. I., Gorodtsov, V. A., and Kalashnikov, V. N. (1968), Turbulence in
anomalous fluids. Proceedings VI All-Union Conference on Heat and Mass Exchange.
In: "Heat and Mass Transfer", Nauka i Technika, Minsk, v. 3, pp. 3-23 (in
Russian).
- Akhmedov, Z. M., Barenblatt, G. I., Entov, V. M., and Mirzadjanzadeh, A. Kh.
(1969), Non-linear effects in gas filtration. Izvestiya (Bulletin), USSR Academy
of Sciences, Mekhanika Zhidkosti i Gasa (Mechanics of Fluid and Gas), 4,
No. 5, pp. 103-109 (in Russian); Fluid Dynamics, 4, No. 5, pp. 68-72
(English Translation).
- Barenblatt, G. I., and Sivashinsky, G. I. (1969), Self-similar solutions of the
second kind in non-linear filtration. Prikladnaya Matematika i Mekhanika, 33, No. 5, pp. 861-870 (in Russian); J. Applied Mathematics and Mechanics (PMM),
33, No. 5, pp. 836-845 (English Translation).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1970), On the influence of
vibrational heating on the fracture propagation in the polymeric materials.
Proceedings IUTAM Symposium on the Thermoinelasticity, East Kilbride, Scotland,
Springer-Verlag, Wien, B. A. Boley (ed.), pp. 33-46.
- Barenblatt, G. I., Entov, V. M., and Segalov, A. E. (1970), Thermal mechanism of
cold-drawing of polymers. Proceedings IUTAM Symposium on the Thermoinelasticity,
East Kilbride, Scotland, Springer-Verlag, Wien, B. A. Boley (ed.), pp. 47-58.
- Barenblatt, G. I., and Sivashinsky, G. I. (1970), Self-similar solutions of the
second kind in the problem of propagation of intense shock waves. Prikladnaya
Matematika i Mekhanika, 34, No. 4, pp. 685-692 (in Russian); J. Applied
Mathematics and Mechanics (PMM), 34, No. 4, pp. 655-662.
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1970), Some problems of the
kinetics of crack popagation. In: "Inelastic Behavior of Solids", Proc. Battelle
Symposium, Columbus, Ohio, M. F. Kanninen et al (ed.), pp. 559-585.
- Barenblatt, G. I. (1970), Self-oscillating neck propagation in polymers. Izvestiya
(Bulletin), USSR Academy of Sciences, Mekhanika Tverdogo Tela (Mechanics of
Solids), 5, No. 5, pp. 121-131 (in Russian); 5, No. 5, pp. 110-118
(English Translation).
- Barenblatt, G. I., and Zeldovich, Ya. B. (1971), Intermediate asymptotics in
mathematical physics. Uspekhi Matematicheskikh Nauk, 26, No. 2 (158),
pp. 115-129 (in Russian); Russian Mathematical Surveys, Uspekhi, 26, No. 2
(158), pp. 45-61 (English Translation).
- Mirzadjanzadeh, A. Kh., Amirov, A. D., Akhmedov, Z. M., Barenblatt, G. I.,
Gurbanov, R. S., Entov, V. M., and Zaitsev, Yu. V. (1971), The special features of
oil and gas field development due to effects of initial pressure gradient.
Proceedings, Eighth World Petroleum Congress, Volume 3, pp. 413-425, Applied
Science Publishers Ltd., Barking, Essex, England.
- Barenblatt, G. I. (1971), Filtration of two non-mixing fluids in a homogeneous
porous medium. Izvestiya
(Bulletin), USSR Academy of Sciences, Mekhanika Zhidkosti i Gasa (Mechanics of
Fluid and Gas), No. 5, pp. 144-151 (in Russian); Fluid Dynamics, 6, No. 5,
pp. 857-864 (English Translation).
- Barenblatt, G. I., and Entov, V. M. (1972), Non-equilibrium effects in filtration
of non-mixing fluids. In: "Heat-and-Mass Exchange", III, Publishing House of
Byelorussian Academy of Sciences, Minsk, pp. 18-29 (in Russian).
- Barenblatt, G. I., and Zeldovich, Ya. B. (1972), Self-similar solutions as
intermediate asymptotics. Annual Review of Fluid Mechanics, 4, pp. 295-312.
- Barenblatt, G. I., and Goldstein, R. V. (1972), Wedging of an elastic body by a
slender wedge moving with a constant super-Rayleigh subsonic velocity.
International Journal of Fracture, 8, No. 4, pp. 427-434.
- Barenblatt, G. I. (1972), Isothermic neck propagation in polymers. Izvestiya
(Bulletin), USSR Academy of Sciences, Mekhanika Tverdogo Tela (Mechanics of
Solids), 7, No. 6, pp. 96-104 (in Russian); 7, No. 6, pp. 89-96
(English Translation).
- Barenblatt, G. I. (1972), Methods of the combustion theory in mechanics of
polymers. In: "Combustion and Explosion", Nauka Publishing House, Moscow, L. N.
Stesik (ed.), pp. 15-23 (in Russian).
- Barenblatt, G. I., Entov, V. M., and Ryzhik, V. M. (1972), Theory of unsteady
filtration of fluids and gases. Nedra Publishing House, Moscow, 288 pp. (in
Russian).
- Barenblatt, G. I., and Gavrilov, A. A. (1973), On the theory of self-similar decay
of homogeneous isotropic turbulence. Zhurnal Eksperimentalnoi i Teoreticheskoi
Fiziki, 65, No. 2 (8), pp. 806-813 (in Russian); Soviet Physics, JETP (USA)
(1974), 38, No. 2, pp. 399-402.
- Barenblatt, G. I., Volodchenkov, V. A., and Pavlov, D. Ya. (1973), Isothermic neck
propagation in polymers. Experimental study. Izvestiya (Bulletin), USSR Academy
of Sciences, Mekhanika Tverdogo Tela (Mechanics of Solids), 8, No. 4,
pp. 172-177 (in Russian); 8, No. 4, pp. 154-158 (English Translation).
- Barenblatt, G. I., Mamedov, Yu. G., Mirzadjanzadeh, A. Kh., and Shvetsov, I. A.
(1973), Nonequilibrium effects in filtration of viscoelastic fluids. Izvestiya
(Bulletin), USSR Academy of Sciences, Mekhanika Zhidkosti i Gasa (Mechanics of
Fluid and Gas), 8, No. 5, pp. 76-83 (in Russian); Fluid Dynamics, 8,
No. 5, pp. 742-748 (English Translation).
- Kudin, A. M., Barenblatt, G. I., Kalashnikov, V. N., Vlasov, S. A., and Belokon, V.
S. (1973), Destruction of metallic obstacles by a jet of dilute polymer solution.
Inzhenerno-fizichesky Zhurnal, XXV, No. 6, pp. 1090-1094 (in Russian); Nature,
Physical Sciences, 245, No. 145, 8 October 1973, pp. 95-96 (English
Translation).
- Barenblatt, G. I. (1974), Methods of combustion theory in the mechanics of
deformation, flow, and fracture of polymers. In: "Deformation and Fracture of High
Polymers", Henning Kausch, J. A. Hassel, R. J. Jafffee (eds.), Plenum Press,
pp. 91-111.
- Barenblatt, G. I., and Golitsyn, G. S. (1974), Local structure of mature dust
storms. Journal of the Atmospheric Sciences, 31, No. 7, pp. 1917-1933.
- Barenblatt, G. I. (1974), Neck propagation in polymers. Rheologica Acta, 13,
pp. 924-933.
- Barenblatt, G. I., Volodchenkov, V. A., Kershtein, I. M., and Pavlov, D. Ya.
(1974), Isothermic neck propagation in polymers. A comparison with the creep
process. Izvestiya (Bulletin) of the USSR Academy of Sciences, Mekhanika Tverdogo
Tela (Mechanics of Solids), 9, No. 5, pp. 144-156 (in Russian); 9,
No. 5, pp. 130-139 (English Translation).
- Andrushchenko, V. A., Barenblatt, G. I., and Chudov, L. A. (1975), Self-similar
propagation of intense shock waves in presence of adsorption or generation of energy
at the wave front. In: "Advances in Mechanics of Deformable Media", Dedicated to
100th Anniversary of B. G. Galerkin, G. S. Shapiro (ed.), Nauka Publishing House,
Moscow, pp. 35-44 (in Russian).
- Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1975), Self-maintaining
regimes for deformation and flow in solids. International Journal of Fracture,
11, No. 5, pp. 887-892.
- Barenblatt, G. I. (1975), Dimensional analysis and self-similar solutions. Joint
publication of Institute for Problems in Mechanics and Institute of Oceanology,
USSR Academy of Sciences, Moscow, 54 pp. (in Russian).
- Barenblatt, G. I. (1975), Self-similar solutions of the second kind.
Classification of self-similar solutions. Joint publication of Institute for
Problems in Mechanics and Institute of Oceanology, USSR Academy of Sciences,
Moscow, 62 pp. (in Russian).
- Barenblatt, G. I. (1975), Travelling-wave type solutions and self-similar
solutions. Joint publication of Institute for Problems in Mechanics and Institute
of Oceanology, USSR Academy of Sciences, Moscow, 29 pp. (in Russian).
- Barenblatt, G. I. (1975), Self-similar intermediate asymptotics in the problems of
mechanics. Joint publication of Institute for Problems in Mechanics and Institute
of Oceanology, USSR Academy of Sciences, Moscow, 48 pp. (in Russian).
- Barenblatt, G. I. (1976), Self-similarity: similarity and intermediate
asymptotics. Izvestiya (Bulletin) VUZ, Radiofizika, 19, No. 5-6,
pp. 902-931 (in Russian); Radiophysics and Quantum Electronics, 19,
No. 5-6, pp. 643-673 (English Translation).
- Barenblatt, G. I. (1977), Strong interaction of gravity waves and turbulence.
Izvestiya (Bulletin) USSR Academy of Sciences, Atmospheric and Oceanic Physics,
13, No. 8, pp. 845-848 (in Russian); Atmospheric and Oceanic Physics, 13, No. 8, pp. 581-583 (English Translation).
- Barenblatt, G. I. (1978), Dynamics of turbulent spots and intrusions in a stably
stratified fluid. Izvestiya (Bulletin) USSR Academy of Sciences, Atmospheric and
Oceanic Physics, 14, No. 2, pp. 195-206 (in Russian); Atmospheric and
Oceanic Physics, 14, No. 2, pp. 139-145 (English Translation).
- Barenblatt, G. I. (1978), Similarity, Self-Similarity, and Intermediate
Asymptotics. Gidrometeoizdat Publishing House, Leningrad, 208 pp. (in Russian).
- Barenblatt, G. I., Vavakin, A. S., Goldstein, R. V., Entov, V. M., and Salganik, R.
L. (1978), A general scheme for application of quasistatic theory of cracks to the
prediction of strength and long-term strength of structures. In: "Plastic
Deformation of Light and Special Alloys", Metallurgiya Publishing House, Moscow,
pp. 170-180 (in Russian).
- Barenblatt, G. I. (1978), On the self-similarity of the temperature and salinity
distributions in the upper thermocline. Izvestiya (Bulletin) USSR Academy of
Sciences, Atmospheric and Oceanic Physics, 14, No. 11, pp. 1160-1166 (in
Russian); Atmospheric and Oceanic Physics, 14, No. 11, pp. 820-823 (English
Translation).
- Barenblatt, G. I., and Monin, A. S. (1979), On a plausible mechanism of the
phenomenon of discoidal formations in the atmosphere. Doklady of USSR Academy of
Sciences, 246, No. 4, pp. 834-837 (in Russian).
- Barenblatt, G. I., and Monin, A. S. (1979), The origin of oceanic microstructure.
Proceedings, XII Symposium on Naval Hydrodynamics, National Academy of Sciences,
Washington, DC, pp. 574-581.
- Barenblatt, G. I. (1979), Similarity, self-similarity, and intermediate
asymptotics. Consultants Bureau, Plenum Press, New York and London, xvii+218 pp.
- Barenblatt, G. I., and Monin, A. S. (1979), Similarity laws for turbulent
stratified shear flows. Archive for Rational Mechanics and Analysis, 70,
pp. 307-317.
- Barenblatt, G. I. (1980), Self-similarity: dimensional analysis and intermediate
asymptotics. Prikladnaya Matematika i Mekhanika, 44, No. 3, pp. 377-384 (in
Russian); J. Applied Mathematics and Mechanics (PMM), 44, No. 3, pp. 267-272
(English Translation).
- Barenblatt, G. I., Girgis, R. G., Kamel, M. M., Kuhl, A. L., Oppenheim, A. K., and
Zeldovich, Ya. B. (1980), Self-similar explosion waves of variable energy at the
front. Journal of Fluid Mechanics, 99, No. 4, pp. 811-858.
- Zeldovich, Ya. B., Barenblatt, G. I., Librovich, V. B., and Makhviladze, G. M.
(1980), Mathematical theory of combustion and explosions. Nauka Publishing House,
Moscow, 478 pp. (in Russian).
- Barenblatt, G. I., and Vinnichenko, A. P. (1980), Nonequilibrium filtration of
nonmixing fluids. Uspekhi Mekhaniki (Advances in Mechanics), 3, No. 3,
pp. 35-50 (in Russian).
- Barenblatt, G. I. (1980), Some phenomena of turbulence in a fluid with strongly
stable stratification. In: "Nonlinear Waves. Stochasticity and Turbulence",
Publication of the Institute of Applied Physics, USSR Academy of Sciences, Gorky,
pp. 89-114 (in Russian).
- Barenblatt, G. I., and Botvina, L. R. (1981), Incomplete self-similarity of fatigue
in the linear range of crack growth. Fatigue of Engineering Materials and
Structures, 3, pp. 193-202.
- Barenblatt, G. I., and Leykin, I. A. (1981), On the self-similar spectra of wind
waves in the high frequency range. Izvestiya (Bulletin), USSR Academy of Sciences,
Atmospheric and Oceanic Physics, 17, No. 1, pp. 50-58 (in Russian);
Atmospheric and Oceanic Physics, 17, No. 1, pp. 35-41 (English Translation).
- Barenblatt, G. I., and Ryzhov, O. S. (1981), About the works of Akademician
S. A. Christianovich and about himself. In: Christianovich, S. A., "Mechanics of
Continuous Media", Nauka Publishing House, Moscow, pp. 3-18 (in Russian).
- Barenblatt, G. I. (1981), Turbulence and heat- and mass exchange in a fluid with
strongly stable stratification. In: "Heat- and Mass Exchange - VI. Problem
Lectures at IV All-Union Conference on Heat and Mass Exchange, Part I",
Publication of the Institute of Heat and Mass Exchange, Byelorussian Academy of
Sciences, Minsk, pp. 52-75 (in Russian).
- Barenblatt, G. I., Keylis-Borok, V. I., and Vishik, M. M. (1981), Model of
clustering of earthquakes. Proceedings, US National Academy of Sciences, 78,
No. 9, pp. 5284-5287.
- Barenblatt, G. I., and Botvina, L. R. (1982), A note concerning power-type
constitutive equations of deformation and fracture of solids. International
Journal of Engineering Sciences, 20, No. 2, pp. 187-191.
- Barenblatt, G. I. (1982), A model of unsteady heat- and mass exchange in a fluid
with a strong stratification. Izvestiya (Bulletin), USSR Academy of Sciences,
Atmospheric and Oceanic Physics, 18, No. 3, pp. 262-268 (in Russian);
Atmospheric and Oceanic Physics, 18, No. 3, pp. 201-205 (English
Translation).
- Barenblatt, G. I., and Botvina, L. R. (1982), Application of the similarity method
to the damage accumulation and fatigue growth studies. In: "Defects and Fracture",
Proceedings, International Symposium on Defects and Fracture, Tuczno, October 1980,
G. C. Sih and H. Zorski (eds.), pp. 71-79, Martin Nijhoff, Boston, London, Hague,
1982.
- Barenblatt, G. I. (1982), About the discreteness of fracture. Problemy prochnosti
1982, No. 5, pp. 107-110; A note concerning the discreteness of fracture, ibid,
pp. 113-114 (in Russian).
- Barenblatt, G. I. (1982), Similarity, self-similarity, and intermediate
asymptotics. 2nd edition, Gidrometeoizdat, Leningrad, 256 pp. (in Russian).
- Barenblatt, G. I., and Benilov, A. Yu. (1982), On the influence of internal waves
on the inhomogeneities of hydrophysical characteristics of the oceanic surface.
In: "The Action of Large Scale Internal Waves on the Sea Surface", Publication of
the Institute of Applied Physics, USSR Academy of Sciences, Gorky, 1982, pp. 52-74
(in Russian).
- Barenblatt, G. I., and Voropayev, S. I. (1983), A contribution to the theory of
steady turbulent layer. Izvestiya (Bulletin), USSR Academy of Sciences,
Atmospheric and Oceanic Physics, 19, No. 2, pp. 169-174 (in Russian);
Atmospheric and Oceanic Physics, 19, No. 2, pp. 126-129 (English
Translation).
- Barenblatt, G. I., and Monin, A. S. (1983), On the similarity principles for the
biology of the pelagial. Doklady, USSR Academy of Sciences, 269, No. 1,
pp. 242-244 (in Russian).
- Barenblatt, G. I. (1983), Some new problems of turbulence in a fluid with strongly
stable stratification. In: "Nonlinear Waves: Self Organization", Nauka
Publishing House, Moscow, pp. 191-203 (in Russian).
- Barenblatt, G. I., Keylis-Borok, V. I., and Monin, A. S. (1983), A filtration
model of the sequence of earthquakes. Doklady, USSR Academy of Sciences, 269,
No. 4, pp. 831-834 (in Russian).
- Barenblatt, G. I. (1983), Nonlinear inelastic deformation waves in polymers and
metals. In: "Non-linear Deformation Waves", U. Nigul and J. Engelbrecht (eds.),
Springer-Verlag, Berlin, Heidelberg, New York, 1983, pp. 185-190.
- Barenblatt, G. I., and Monin, A. S. (1983), Similarity principles for the biology
of pelagic animals. Proceedings, US National Academy of Sciences, 80, No. 6,
pp. 3540-3542.
- Barenblatt, G. I., and Botvina, L. R. (1983), Self-similarity of fatigue fracture.
Damage accumulation. Izvestiya (Bulletin), USSR Academy of Sciences, Mekhanika
Tverdogo Tela (Mechanics of Solids), 18, No. 4, pp. 161-165 (in Russian);
18, No. 4, pp. 160-164 (English Translation).
- Barenblatt, G. I., and Benilov, A. Yu. (1983), On the regularities of the
penetrating convection in stratified fluid. Okeanologiya, 23, No. 5,
pp. 443-452 (in Russian); USSR Academy of Sciences, Oceanology, 23, No. 5,
pp. 558-564 (English Translation).
- Barenblatt, G. I. (1983), Self-similar turbulence propagation from an instantaneous
plane source. In: "Nonlinear Dynamics and Turbulence", G. I. Barenblatt,
G. Iooss, and D. D. Joseph (eds.), Pitman, Boston, London, Melbourne, pp. 48-60.
- Barenblatt, G. I. (1983), The mathematical theory of equilibrium cracks in brittle
fracture. Current Contents. Engineering, Technology and Applied Sciences, October
17, 1983, 14, Classic Section, pp. 19-20.
- Barenblatt, G. I., and Shapiro, G. I. (1984), A contribution to the theory of
structure of wave fronts in dispersive media with dissipation. Izvestiya
(Bulletin), USSR Academy of Sciences, Atmospheric and Oceanic Physics, 20,
No. 3, pp. 277-284 (in Russian); Atmospheic and Oceanic Physics, 20, No. 3,
pp. 210-215 (English Translation).
- Barenblatt, G. I., Entov, V. M. and Ryzhik, V. M. (1984), The motion of fluids and
gases in natural strata. Nedra Publishing House, Moscow, 208 pp.
- Zeldovich, Ya. B., Barenblatt, G. I., Librovich, V. B., and Makhviladze, G. M.
(1985), The mathematical theory of combustion and explosions. Consultants Bureau,
Plenum Press, New York, xxi+597 pp.
- Barenblatt, G. I. (1984), Spreading of the turbulent layer. In: "N. E. Kochin and
the Development of Mechanics", P. Ya. Kochina et al. (eds.), Nauka Publishing
House, Moscow, pp. 194-201 (in Russian).
- Barenblatt, G. I., Zhivago, A. V., Neprochnov, Yu. P., and Ostrovsky, A. A. (1984),
Fractal dimension: a quantitative characteristic of the ocean-bottom relief.
Okeanologiya, 24, No. 6, pp. 924-928 (in Russian); USSR Academy of Sciences,
Oceanology, 24, No. 6, pp. 695-697 (English Translation).
- Barenblatt, G. I., Ivanov, M. Ya., and Shapiro, G. I. (1985), On the structure of
wave fronts in nonlinear dissipative media. Arch. Rat. Mech. Analysis, 87,
No. 4, pp. 293-303.
- Barenblatt, G. I, Leykin, I. A., Kaz'min, A. S., Kozlov, V. A., Raszhivin, V. A.,
Fillippov, I. A., Frolov, I. D., and Chuvilchikov, S. I. (1985), Sooloy (rip
current) in White Sea. Doklady, USSR Academy of Sciences, 281, No. 6,
pp. 1435-1439 (in Russian).
- Barenblatt, G. I., Leykin, I. A., Kaz'min, A. S., Kozlov, V. A., Raszhivin, V. A.,
Fillippov, I. A., Frolov, I. D., and Chuvilchikov, S. I. (1986), Sooloy (rip
current) in White Sea. Part 1. Observations of the sooloy, and its connection
with the tidal currents. Morskoy Gidrofizichesky Zhurnal (Marine Hydrophysical
Journal), No. 2, pp. 49-53 (in Russian).
- Barenblatt, G. I., Leykin, I. A., Kaz'min, A. S., Kozlov, V. A., Raszhivin, V. A.,
Fillippov, I. A., Frolov, I. D., and Chuvilchikov, S. I. (1986), Sooloy (rip
current) in White Sea. Part 2. The sooloy's connection with the local bottom
relief, and the wave measuring. Morskoy Gidrofizichesky Zhurnal (Marine
Hydrophysical Journal), No. 5, pp. 29-33 (in Russian).
- Botvina, L. R., and Barenblatt, G. I. (1985), Self-similarity of damage
accumulation. Problemy Prochnosti (Problems of Strength), 17, No. 12,
pp. 17-24 (in Russian); Strength of Materials, 17, No. 12, pp. 1653-1663
(English Translation).
- Barenblatt, G. I., and Botvina, L. R. (1986), Similarity methods in fracture
mechanics. Fiziko-khimicheskaya Mekhanika Materialov (Physico-chemical Mechanics
of Materials), 22, No. 1, pp. 57-62 (in Russian); Soviet Material Science,
22, No 1, pp. 52-57 (English Translation).
- Barenblatt, G. I., and Gilman, A. A. (1987), A mathematical model of nonequilibrium
counterflow capillary imbibition. Inzhenerno-Fizichesky Zhurnal, 52, No. 3,
pp. 456-461 (in Russian); Journal of Engineering Physics, 52, No. 3,
pp. 335-339 (English Translation).
- Barenblatt, G. I. (1987), Nonlinear filtration, past, present and future. In:
"Problems of the Theory of Filtration, and the Mechanics of the Oil Recovery
Processes", P. Ya. Kochina and V. M. Entov (eds.), Nauka Publishing House, Moscow,
pp. 15-27 (in Russian).
- Barenblatt, G. I. (1987), Dimensional analysis. Gordon and Breach Science
Publishers, New York, London, Paris, Montreaux, Tokyo, xi+136 pp.
- Barenblatt, G. I., Galerkina, N. L., and Luneva, M. V. (1987), Evolution of a
turbulent burst. Inzhenerno-Fizichesky Zhurnal, 53, No. 5, pp. 733-740 (in
Russian); Journal of Engineering Physics, 53, No. 5, pp. 1246-1252 (English
Translation).
- Barenblatt, G. I. (1987), On a model of small fatigue cracks. Engineering Fracture
Mechanics, 28, No. 5/6, pp. 623-626.
- Barenblatt, G. I., Basniev, K. S., and Kochina, I. N. (1988), A mathematical model
of filtration of gas-condensate mixtures in a fissurized-porous medium. In:
"Filtration of Non-Homogeneous Gases", Publication of VNII Gas (All-Union
Research Institute of Gas), Moscow, pp. 5-15 (in Russian).
- Barenblatt, G. I., Basniev, K. S., and Kochina, I. N. (1988), On basic concepts of
the theory of flow of gas-condensate mixtures in fissurized-porous rocks.
Izvestiya (Bulletin), Azerbaidjanian Academy of Sciences, Earth Sciences, No. 5,
pp. 3-17 (in Russian).
- Barenblatt, G. I., Voropayev, S. I., and Fillippov, I. A. (1989), The model of
Fedorovian coherent structures in the oceanic upper layer. Doklady, USSR Academy
of Sciences, 307, No. 3, pp. 720-724.
- Barenblatt, G. I., Voropayev, S. I., Fillippov, I. A., and Chuvilchikov, S. I.
(1989), Turbulence in Stokesian flows. Zhurnal Experimentalnoi i Teoreticheskoy
Fiziki, 96, No. 4/(10), pp. 1272-1277 (in
Russian); Soviet Physics, JETP (USA), 69, No. 4, pp. 723-725 (English
Translation).
- Barenblatt, G. I., and Baturin, G. N. (1989), On the "unsinkability" of the
iron-magnesium concretions, and several peculiarities of the oceanic bottom layer.
Doklady, USSR Academy of Sciences, 308, No. 1, pp. 183-187 (in Russian).
- Barenblatt, G. I. (1989), Instability and turbulence. In: "Research Reports in
Physics. Nonlinear Waves in Active Media", J. Engelbrecht (ed.),
Springer-Verlag, Berlin, Heidelberg, pp. 106-113.
- Ioffe, D. I., Zolotorevsky, A. V., Barenblatt, G. I., and Rozovsky, M. Kh. (1989),
Clinical use of mathematical model of arterial extracranial and ocular blood flow.
Oftalmosurgery, No. 3-4, pp. 48-51.
- Barenblatt, G. I. (1990), On a model of laminar-turbulent transition. Journal of
Fluid Mechanics, 212, pp. 487-496.
- Barenblatt, G. I., Entov, V. M., and Ryzhik, V. M. (1990), Theory of fluid flows
through natural rocks. Kluwer Academic Publishers, Dordrecht, Boston, London,
ix+395 pp.
- Barenblatt, G. I. (1990), Evolution of turbulence in a stably stratified fluid
shear flow. Izvestiya (Bulletin), USSR Academy of Sciences, Atmospheric and
Oceanic Physics, 26, No. 12, pp. 1275-1281 (in Russian); Atmospheric and
Oceanic Physics, 26, No. 12, pp. 928-932 (English Translation).
- Barenblatt, G. I. (1991), Dynamics of turbulent spots in stably stratified fluid.
In: "Mathematical Approaches in Hydrodynamics", Touvia Miloh (ed.), SIAM,
Philadelphia, pp. 373-381.
- Barenblatt, G. I. (1991), On the scaling laws (incomplete self-similarity with
respect to Reynolds numbers) for the developed turbulent flows in tubes. Comptes
Rendus, Académie des Sciences, Paris, 313, Série II, pp. 307-312.
- Barenblatt, G. I. (1991), Reminiscences about A. D. Sakharov. In: "Andrei
Sakharov, Facets of a Life", B. L. Altshuler et al. (ed.), Editions Frontières,
Gif-sur-Ivette Cedex-France, pp. 118-131.
- Barenblatt, G. I., Galerkina, N. L., and Lebedev, I. A. (1992), A mathematical
model of the lower quasihomogenous layer of the ocean: General concepts and
sealing-off model. Izvestiya (Bulletin), Russian Academy of Sciences, Atmospheric
and Oceanic Physics, 28, No. 1, pp. 91-100 (in Russian); Atmospheric and
Oceanic Physics, 28, No. 1, pp. 68-78 (English Translation).
- Barenblatt, G. I. (1992), Intermediate asymptotics in micromechanics. In:
"Proceedings of Second International Conference on Industrial and Applied
Mathematics", R. E. O'Mailey (ed.), SIAM, Philadelphia, pp. 15-29.
- Barenblatt, G. I. (1993), Scaling laws for fully developed turbulent shear flows,
Part 1. Basic hypotheses and analysis. Journal of Fluid Mechanics, 248,
pp. 513-520.
- Barenblatt, G. I., and Prostokishin, V. M. (1993), Scaling laws for fully developed
turbulent shear flows, Part 2. Processing of experimental data. Journal of Fluid
Mechanics, 248, pp. 521-529.
- Barenblatt, G. I., Vinogradov, M. E., Gorbunov, A. E., and Petrovsky, S. V. (1993),
On the modelling of the impact waves in complex ecological systems. Okeanologiya,
33, No. 1, pp. 1-12 (in Russian); Russian Academy of Sciences, Oceanology,
33, No. 1, pp. 1-7 (English Translation).
- Vinogradov, M. E., Barenblatt, G. I., Gorbunov, A. E., and Petrovsky, S. V. (1993),
Mathematical modelling of an impact in ecological systems. Doklady, Russian
Academy of Sciences, 328, No. 4, pp. 509-512 (in Russian).
- Barenblatt, G. I., and Botvina, L. R. (1993), Self-oscillatory modes of fatigue
fracture and the formation of self-similar structures at the fracture surface.
Proceedings of the Royal Society of London, A442, pp. 489-494.
- Barenblatt, G. I., Bertsch, M., Dal Passo, R., Prostokishin, V. M., and Ughi, M.
(1993), A mathematical model of turbulent heat- and mass transfer in stably
stratified shear flow. Journal of Fluid Mechanics, 253, pp. 341-358.
- Barenblatt, G. I., and Prostokishin, V. M. (1993), A mathematical model of damage
accumulation taking into account microstructural effects. European Journal of
Applied Mathematics, 4, pp. 225-240.
- Barenblatt, G. I. (1993), Micromechanics of fracture. In: "Theoretical and
Applied Mechanics, 1992", S. R. Bodner, J. Singer, A. Solan, and Z. Hashin (eds.),
Elsevier Science Publishers B.V., IUTAM, pp. 25-52.
- Barenblatt, G. I. (1993), Some general aspects of fracture mechanics. In:
"Modelling of Defects and Fracture Mechanics", G. Herrmann (ed.),
Springer-Verlag, Wien, New York, pp. 29-59.
- Barenblatt, G. I. (1993), Intermediate asymptotics, scaling laws and
renormalization group in continuum mechanics. Meccanica, 28, pp. 177-183.
- Barenblatt, G. I., Galerkina, N. L., and Lebedev, I. A. (1993), A mathematical
model of the lower quasihomogeneous layer of the ocean: The influence of
thermohaline stratification, slope of the bottom and tidal oscillations. Izvestiya
(Bulletin), Russian Academy of Sciences, Atmospheric and Oceanic Physics, 29,
No. 4, pp. 537-542 (in Russian); Atmospheric and Oceanic Physics, 29, No. 4,
pp. 516-521 (English Translation).
- Barenblatt, G. I., Bertsch, M., Dal Passo, R., and Ughi, M. (1993), A degenerate
pseudoparabolic regularization of a nonlinear forward-backward heat equation
arising in the theory of heat and mass exchange in stably stratified turbulent
shear flow. SIAM Journal of Mathematical Analysis, 24, No. 6, pp. 1414-1439.
- Barenblatt, G. I. (1993), Yakov Borisovich Zeldovich as I knew him. In: "Known
and Unknown Zeldovich", S. S. Gershtein and R. A. Sunyaev (eds.), Nauka Publishing
House, pp. 199-212 (in Russian).
- Barenblatt, G. I. (1994), Scaling phenomena in fluid mechanics. Cambridge
University Press, 50 pp.
- Barenblatt, G. I., and Goldenfeld, N. D. (1995), Does fully developed turbulence
exist? Reynolds number independence versus asymptotic covariance. Physics of
Fluids, A7, No. 12, pp. 3078-3082.
- Barenblatt, G. I. (1995), Fracture of solids as a free-boundary problem. In:
"Free-Boundary Problems: Theory and Applications", J. I. Diaz, M. A. Herrero,
A. Liñan, and J. L. Vázquez (eds.), Longman Scientific and Technical, Harlow,
pp. 20-39.
- Barenblatt, G. I., Vinogradov, M. E., and Petrovsky, S. V. (1995), Rise and spread
of impact waves in oceanic ecosystems. Inzhenernaya Ekologiya (Engineering
Ecology), No. 3, pp. 76-91 (in Russian).
- Barenblatt, G. I., and Chorin, A. J. (1996), Small viscosity asymptotics for the
initial range of local structure and for the wall region of wall-bounded turbulent
shear flow. Proceedings, US National Academy of Sciences, 93, pp. 6749-6752.
- Barenblatt, G.I. (1996), Scaling, self-similarity, and intermediate asymptotics.
Cambridge University Press, xxii+386 pp.
- Barenblatt, G. I. (1996), From the reminiscences. In: "He Lived Between
Us. The Reminiscences About Sakharov", B. L. Altshuler et al. (eds.),
Praktika Publishing House, Moscow, pp. 129-141 (in Russian).
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (1997), Scaling laws for
fully developed flows in pipes: Discussion of experimental data. Proceedings, US
National Academy of Sciences, 94, No. 3, pp. 773-776.
- Barenblatt, G. I., and Chorin, A. J. (1997), Scaling laws and vanishing-viscosity
limits for wall-bounded shear flows and for local structure in developed
turbulence. Communications in Pure and Applied Mathematics, L, pp. 381-398.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (1997), Scaling laws for
fully developed turbulent flows in pipes. Applied Mechanics Reviews, 50,
No. 7, pp. 413-429.
- Barenblatt, G. I., Chorin, A. J., Hald, O. H., and Prostokishin, V. M. (1997),
Structure of the zero-pressure-gradient turbulent boundary layer. Proceedings, US
National Academy of Sciences, 94, No. 15, pp. 7817-7819.
- Barenblatt, G. I., Beretta, E., and Bertsch, M. (1997), The problem of the
spreading of a liquid film along a solid surface: A new mathematical formulation.
Proceedings, US National Academy of Sciences, 94, No. 19, pp. 10024-10030.
- Barenblatt, G. I., Chorin, A. J., and Kast, A. (1997), The influence of the flow of
the reacting gas on the conditions for a thermal explosion. Proceedings, US
National Academy of Sciences, 94, pp. 12762-12764.
- Barenblatt, G. I., Garcia-Azorero, J., De Pablo, A., and Vázquez, J. L. (1997),
Mathematical model of the non-equilibrium water-oil displacement in porous strata.
Applicable Analysis, 65, pp. 19-45.
- Barenblatt, G. I., and Chorin, A. J. (1998), Scaling laws and vanishing viscosity
limits in turbulence theory. Proceedings of Symposia in Applied Mathematics, 54, Spigler, R., and Venakides, S. (eds.), pp. 1-25.
- Barenblatt, G. I., and Vázquez, J. L. (1998), A new free boundary problem for
unsteady flows in porous media. European Journal of Applied Mathematics, 9,
pp. 37-54.
- Barenblatt, G. I., and Chorin, A. J. (1998), Scaling of the intermediate region in
wall-bounded turbulence: The power law. Physics of Fluids, A10, No. 4,
pp. 1043-1044.
- Barenblatt, G. I., and Chorin, A. J. (1998), New perspectives in turbulence:
Scaling laws, asymptotics and intermittency. SIAM Review, 40, No. 2,
pp. 265-291.
- Barenblatt, G. I., and Chorin, A. J. (1998), Turbulence: An old challenge and new
perspectives. Meccanica, 33, pp. 445-468.
- Barenblatt, G. I., Bell, J. B., and Crutchfield, W. Y. (1998), The thermal
explosion revisited. Proceedings, US National Academy of Sciences, 95,
pp. 13384-13386.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (1999), Comments on the
paper "On the scaling of three-dimensional homogeneous and isotropic turbulence"
by Benzi et al. Physica D, 127, pp. 105-110.
- Barenblatt, G. I., and Chorin, A. J. (1999), Scaling laws for turbulence at very
large Reynolds numbers. Proceedings, Estonian Academy of Sciences, Phys. Math.,
48, No. 3/4, pp. 199-205.
- Barenblatt, G. I. (1999), Scaling laws for turbulent wall-bonded shear flows at
very large Reynolds numbers. Journal of Engineering Mathematics, 36, No. 4,
pp. 361-384.
- Barenblatt, G. I., Ingerman, E. A., Shvetz, H., and Vázquez, J. L. (2000), Very
intense pulse in the groundwater flow in fissurized-porous stratum. Proceedings,
US National Academy of Sciences, 97, No. 4, pp. 1366-1369.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2000), Self-similar
intermediate structures in turbulent boundary layers at large Reynolds numbers.
Journal of Fluid Mechanics, 410, pp. 263-283.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2000), Characteristic
length scale of the intermediate structure in zero-pressure-gradient boundary layer
flow. Proceedings, US National Academy of Sciences, 97, No. 8,
pp. 3799-3802.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2000), A note on the
intermediate region in turbulent boundary layers. Physics of Fluids, 12,
No. 9, pp. 2159-2161.
- Barenblatt, G. I., Bertsch, M. E., Chertock, A. E., and Prostokishin, V. M. (2000),
Self-similar intermediate asymptotics for a degenerate parabolic
filtration-absorption equation. Proceedings, US National Academy of Sciences, 97, No. 18, pp. 9844-9848.
- Barenblatt, G. I. (2001), George Keith Batchelor (1920-2000) and David George
Crighton (1942-2000), Applied Mathematicians. Notices of the American
Mathematical Society, 48, No. 8, pp. 800-806.
- Barenblatt, G. I. (2001), Self-similar intermediate asymptotics for nonlinear
degenerate parabolic free-boundary problems that occur in image processing.
Proceedings, US National Academy of Sciences, 98, No. 23, pp. 12878-12881.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2002), A model of a
turbulent boundary layer with a non-zero pressure gradient. Proceedings, US
National Academy of Sciences, 99, No. 9, pp. 5772-5776.
- Barenblatt, G. I. (2002), Damage accumulation: A non-local model. In: "Structured
Media-Trecop '01. In Memory of Professor Ekkehart Kröner", B. T. Marusziewski
(ed.), Publishing House of Poznan University of Technology, Poznan, pp. 19-28.
- Barenblatt, G. I., Patzek, T. W., and Silin, D. B. (2002), The mathematical model
of non-equilibrium effects in water-oil displacement. SPE Paper 75169, Society of
Petroleum Engineers, pp. 1-10.
- Barenblatt, G. I., Patzek, T. W., Silin, D. B., and Prostokishin, V. M. (2002), Oil
deposites in diatomites: A new challenge for subterranean mechanics. SPE Paper
75230, Society of Petroleum Engineers, pp. 1-9.
- Barenblatt, G. I. (2003), Transfer of a passive additive in a turbulent boundary
layer at very large Reynolds numbers. Proceedings, US National Academy of
Sciences, 100, No. 4, pp. 1481-1483.
- Patzek, T. W., Silin, D. B., Benson, S. M., and Barenblatt, G. I. (2003), On
vertical diffusion of gases in a horizontal reservoir. Transport in Porous Media,
51, pp. 141-156.
- Barenblatt, G. I. (2003), A model of non-local damage accumulation. Fizicheskaya
Mesomekhanika, 6, No. 4, pp. 85-91 (in Russian); Physical Mesomechanics,
6, No. 4, pp. 79-84 (English Translation).
- Barenblatt, G. I. (2003), A contribution to the history of studying of the Far
Eastern encephalitis. Voprosy Virusologii (Problems of Virology), No. 4, pp. 48-49
(in Russian).
- Barenblatt, G. I. (2003), Scaling. Cambridge University Press, Cambridge,
xvi+171 pp.
- Barenblatt, G. I., and Vazquez, J. L. (2004), Nonlinear diffusion and image contour
enhancement. Interfaces and Free Boundaries, 6, pp. 31-54.
- Barenblatt, G. I. (2004), Turbulent boundary layers at very large Reynolds numbers. Russian Mathematical Surveys, 59, No. 1,
pp. 47-64. Uspekhi Mathematicheskikh Nauk, 59, No. 1, pp. 45-62 (Russian translation).
- Barenblatt, G. I. (2004), Yakov Borisovich Zeldovich, as I knew him. In "Zeldovich, Reminescences", R. A. Sunyaev (ed.),
Chapman and Hall/CRC, Roca Raton, London et al., pp. 179-191.
- Barenblatt, G. I., and Chorin, A. J. (2004), A mathematical model for the scaling of turbulence. Proceedings, US National Academy of
Sciences, 101, No. 42, pp. 15023-15026.
- Barenblatt, G. I. (2004), Science of the XXI Century. In "One hundred reasons to be a scientist", K. R. Sreenivasan (ed.),
Publication of the Abdus Salam International Centre for Theoretical Physics, Trieste, pp. 44-46.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2005), The turbulent wall-jet: A triple-layered structure and incomplete
similarity. Proceedings of the US National Academy of Sciences, 102, No. 25, pp. 8850-8853.
- Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2005), A note concerning the Lighthill "sandwich model"
of tropical cyclones. Proceedings of the US National Academy of Sciences, 102, No. 32, pp. 11148-11150.
- Barenblatt, G. I. (2006), What I remember and will remember forever. In "Kolmogorov in memories of disciples",
A. N. Shiryaev (ed.), Publishing House MTsNMO, Moscow, 472 pp, pp. 54-98 (in Russian).
- Barenblatt, G. I. (2006), Scaling phenomena in fatigue and fracture. International Journal of Fracture, 138, #1-4,
pp. 19-35. Also in "Advances in Fracture Research", A. Carpinteri, Yiu-Wing Mai and R. O. Ritchie (ed.),
Springer, pp. 19-35.
- Barenblatt, G. I., Bertsch, M., and Nitsch, C. (2006), Nonlocal damage accumulation and fluid flow in diatomites.
Communications in Applied Mathematics and Computational Science, 1, pp. 143-168. Preliminary printed publication
LBNL Report - 56541, May 2005, 24 p.
- Barenblatt, G. I. (2006), Applied Mechanics: An Age-Old Science Perpetually in Rebirth. Bulletin of Applied
Mechanics Division of the American Society of Mechanical Engineers. Preliminary printed publication
LBNL Report - 58874, September 2005, 13 p.
- Barenblatt, G. I. (2008), Energy of Tycho's Supernova Remnant is increasing with time.
Proceedings of the US National Academy of Sciences, 105, #4, pp. 1124-1125.
- Barenblatt, G. I. (2008), A mathematical model of turbulent drag reduction by high-molecular
weight polymeric additions in a shear flow. Physics of Fluids, 20, 091702-1 - 091702-4.
- Barenblatt, G. I., and Joseph, D. D. (2008), Ronald Samuel Riolin, In "Memorial Tributes,
National Academy of Engineering", 12, The National Academies Press, Washington, D.C.,
pp. 235-238.
- Barenblatt, G. I. (2008), Great mechanician Sergei Alexeevich Christianovich, as I have seen,
and knew him. In "Sergei Alexeevich Christianovich, outstanding mechanician of the XX century'',
Academic Publishing House "Geo", Novosibirsk, pp. 195-201 (in Russian).
- Barenblatt, G. I. (2009), Self-similar Phenomena - Dimensional Analysis and Scaling.
Publishing House "Intellect", Dolgoprudny (in Russian), 215pp.
- Barenblatt, G. I. (2009), Shear flow laminarization and acceleration by suspended heavy
particles: A mathematical model and geophysical applications. Communications in Applied
Mathematics and Computational Science, 4, No. 1, pp. 153-175.
- Barenblatt, G. I. (2010), In Memoriam. Vladimir Markovich Entov (1937-2008). Transport
in Porous Media, 83, No. 1, pp. 1-5.
- Barenblatt, G. I., Bertsch, M., and Giacomelli, L. (2010), Steady and quasi-steady thin
viscous flows near the edge of a solid surface. European Journal of Applied Mathematics,
21, pp. 253-270.
- Ståhle, P., Barenblatt, G. I., and Rice, J. R. (2010), Knut Bertram Broberg: February 4,
1925 to May 3, 2005. International Journal of Fracture, 165, No. 2,
pp. 141-148.
- Barenblatt, G. I., and Monteiro, P. J. M. (2010), Scaling laws in nanomechanics.
Physical Mesomechanics, 13, No. 3-4, pp. 245-248.
- Monteiro, P. J. M., Rycroft, C. H., and Barenblatt, G. I. (2012), Fluid and gas flow in
nano-porous media: A mathematical model and applications. Proceedings, U.S. National Academy
of Sciences (in press).
- Barenblatt, G. I., Monteiro, P. J. M., and Rycroft, C. H. (2012), On a boundary layer
problem related to gas flow in shales. Journal of Engineering Mathematics (in press).
- Barenblatt, G. I. (2012), Flow, Deformation and Fracture. Cambridge University Press,
Cambridge (in press).
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