Alexandre J. Chorin

Email address: chorin_at_math.berkeley.edu


Postal Address:



Bibliography up to 1996

Turbulence cascades across equilibrium spectra Phys Rev E pp. 2616-2619 (1996)

Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence Phys Fluids 8 pp. 2656-2660 (1996)

Analysis of Kosterlitz-Thouless transition models Physica D 99 pp. 442-470 (1997) (with O. H. Hald)

Scaling laws and zero viscosity limits for wall-bounded shear flows and for local structure in developed turbulence Comm. Pure Appl. Math, 50 pp.381-398 (1997) (with G. I. Barenblatt)

Scaling laws and vanishing viscosity limits in turbulence theory Proc. Symposia Appl. Math. AMS, 54, pp. 1-25 (1998) (with G. I. Barenblatt)

Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data Proc. Natl. Acad. Sci. 94, pp. 773-776 (1997) (with G. I. Barenblatt and V. M. Prostokishin)

Scaling laws for fully developed turbulent flow in pipes Appl. Mech. Rev. 50 pp. 413-429 (1997) (with G. I. Barenblatt and V. M. Prostokishin)

New perspectives in turbulence: Scaling laws, asymptotics and intermittencySIAM Rev. 40, pp.265-291 (1998) (with G. I. Barenblatt)

Structure of the zero-pressure-gradient turbulent boundary layer Proc. Nat. Acad. Sci. 94 (1997), pp. 7817-7819 (with G. I. Barenblatt, O. H. Hald and V. M. Prostokishin)

Optimal prediction of underresolved dynamics Proc. Nat. Acad. Sci. USA, 95 (1998), pp. 4094-4098. (with A. Kast and R. Kupferman)

New perspectives in turbulence Quart. Appl. Math., 56, (1998), pp. 767-785.

New perspectives in turbulence Berkeley Math. Newsletter 1998 (with G. I. Barenblatt)

Scaling of the intermediate region in wall-bounded turbulence: The power law(with G. I. Barenblatt) Phys. Fluids 10 (1998) pp. 1043-1044.

The influence of the flow of the reacting gas on the conditions for a thermal explosion Proc. Nat. Acad. Sci. USA, 94, pp. 12762-12764 (1997)(with G. I. Barenblatt and A. Kast)

One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition (with R. Kupferman) SIAM J. Appl. Math., 59, (1999) pp. 1843-1866.

The Kolmogorov-Obukhov exponent in the inertial range of turbulence: A reexamination of experimental data (with G. I. Barenblatt and V. M. Prostokishin) Physica D, 127 (1999), pp. 105-110.

Unresolved computation and optimal predictions (with A. Kast and R. Kupferman) Comm. Pure Appl. Math., 52 (1999), pp. 1231-1254.

On the prediction of large scale dynamics using unresolved computations (with A. Kast and R. Kupferman) Contemp. Math. AMS, 238 (1999), pp. 53-75.

A new formulation of the near-equilibrium theory of turbulence(with G.I. Barenblatt) www.emath.fr/Maths/Proc (1999), pp. 22-35.

Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers (with G. I. Barenblatt and V. M. Prostokishin) J. Fluid Mech. 97 (2000), pp. 263-283.

Optimal prediction for Hamiltonian partial differential equations (with R. Kupferman and D. Levy) J. Comp. Phys., 162 (2000), pp. 267-297.

Optimal prediction and the Mori-Zwanzig representation of irreversible processes (with O. H. Hald and R. Kupferman) Proc. Nat. Acad. Sci. USA, 97 (2000), pp. 2968-2973.

Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow (with G. I. Barenblatt and V. M. Prostokishin) Proc. Nat. Acad. Sci. USA, 97 (2000), pp. 3799-3802.

Stochastic optimal prediction with application to averaged Euler equations (with J. Bell and W. Crutchfield). Proc. 7th Nat. Conf. CFD, Taiwan (2000), pp. 1-13.

Non-Markovian optimal prediction (with O. H. Hald and R. Kupferman). Monte Carlo Meth. & Appl. 7 (2001) pp. 99-109.

Optimal prediction with memory (with O. H. Hald and R. Kupferman). Physica D, 166 (2002), pp. 239-257.

A model of a turbulent boundary layer with a non-zero pressure gradient (with G. I. Barenblatt and V. M. Prostokishin). Proc. Nat. Acad. Sci. USA, 99 (2002), pp. 5772-5776.

Conditional expectations and renormalization. Multiscale Modeling and Simulation, 1 (2003) pp. 105-118.

Stochastic Tools for Mathematics and Science (with O. H. Hald) (book).

Averaging and renormalization for the Korteveg-deVries-Burgers equation Proc.Nat. Acad. Sci. USA 100 (2003), pp. 9674-9679.

Prediction from partial data, renormalization, and averaging (with O.H. Hald and R. Kupferman). J. Sc. Comput. 28 (2006), pp. 245-261.

A mathematical model for the scaling of turbulence (with G.I. Barenblatt). Proc. Nat. Acad. Sc. USA 101 (2004),pp. 15023-15026.

Dimensional reduction for a Bayesian filter (with P. Krause). Proc. Nat. Acad. Sc. USA 101 (2004), pp. 15013-15016.

Viscosity-dependent inertial spectra of the Burgers and the KdVB equations (with O.H. Hald). Proc. Nat. Acad. Sc. USA 102 (2005), pp. 3921-3923.

Problem reduction, renormalization, and memory (with P. Stinis). Comm. Appl. Math. Comp. Sc. 1 (2005), pp. 1-27.

The turbulent wall jet: a triple-layered structure and incomplete similarity (with G.I. Barenblatt and V.M. Prostokishin). Proc. Nat. Acad. Sc. USA 102 (2005), pp. 8850-8853.

A note concerning the Lighthill ``sandwich model" of tropical cyclones (with G.I. Barenblatt and V.M. Prostokishin). Proc. Nat. Acad. Sc. USA 102 (2005), pp. 11148-11150.

On the existence and scaling of structure functions in turbulence according to the data (with A. Arenas). Proc. Nat. Acad. Sc. (USA) 103 (2006), pp. 4352-4355.

Monte Carlo without chains. Comm. Appl. Math. Comp. Sc. 3 (2008), pp. 77-93.

Alexandre J. Chorin