The DiPerna Lectures

DiPerna Lecture

The DiPerna Lecture was established by friends and colleagues as a memorial to Ronald DiPerna after his untimely death in 1989. Each year the Department of Mathematics invites an outstanding applied mathematician to deliver the DiPerna Lecture on recent advances in applied mathematics.

The 2024 DiPerna Lecture

The DiPerna lecture will be given by Mihaela Ifrim (University of Wisconsin, Madison) on Friday, April 12, 2024, 4PM in Physics 3

Mihaela Ifrim frontal profile

Title: Global Solutions for Dispersive Flows

Abstract:  The long/time global dynamics of nonlinear dispersive waves are determined by the balance of linear dispersion on one hand, and nonlinear effects on the other hand. A recent conjecture aims to describe the global dynamics in a small data regime where the nonlinear effects take precedence. In this talk we will describe current work toward proving this conjecture, with an emphasis on nonlinear Schrodinger flows. This talk is based on joint work with Daniel Tataru.

Ronald J. DiPerna, 1947-1989

Ronald DiPerna

The following text is from the memorial written for Professor DiPerna shortly after his death:

Ronald J. DiPerna, a professor of mathematics at the University of California at Berkeley, died in Princeton on January 8, 1989. At the time of his death he was a visiting member of the Institute for Advanced Study at Princeton, NJ. His wife, Maria Schonbeck, is a professor of mathematics at the University of California, Santa Cruz. They have one daughter, Lauren.

DiPerna was born in Sommerville, Massachusetts, on February 11, 1947. He received his Ph.D. at the Courant Institute of Mathematical Sciences of New York University in 1972, and held faculty positions at Brown University, the University of Michigan, the University of Wisconsin and Duke University before coming to Berkeley in 1985.

DiPerna was known for his work on nonlinear partial differential equations, especially those that are important in fluid dynamics and the kinetic theory of gases. Probably his best known work is his development and application of the method of compensated compactness. This is a very powerful method for controlling oscillation and thereby proving existence theorems. DiPerna proved existence of weak solutions in the large for the equations of compressible gas dynamics and obtained important results concerning the uniqueness of solutions, their large time behavior, and their local regularity as elements of the appropriate abstract spaces.

His recent work concerned integro-differential equations that arise in the kinetic theory of gases and certain types of singularity that arise in incompressible flow.

DiPerna's work is remarkable for the courage and vision with which he attacked and conquered problems of exceptional difficulty. His papers are masterpieces of hard analysis and a source of wonder and inspiration to all those who read them and learn from them. His dedication to mathematics is legendary, and his scientific vision permeates much of contemporary analysis. His very premature death deprives the mathematics community as a whole, and the mathematics department at Berkeley in particular, of a very important and innovative voice.

DiPerna held Guggenheim and Sloan fellowships; he spoke at the International Congress of Mathematicians, and was a member of the Institute for Advanced Study at Princeton. Had he lived, his work would have earned the highest honors that the mathematical community can bestow. The Mathematics Department at Berkeley keenly feels his loss.

Alexandre J. Chorin
Craig Evans
James Gilman
Andrew Majda

Past DiPerna Lecturers

Year Lecturer
2024 Mihaela Ifrim
2021 Felix Otto
2020 Carlos Kenig
2019 Gunther Uhlmann
2018 Wilhelm Schlag
2017 Herbert Koch

Gilles Lebeau

2015 Vladimir Sverak
2014 Takis Souganidis
2013 Alan Newell
2012 Emmanuel Candes
2011 Vladimir Rokhlin
2010 Lai-Sang Young
2009 Andrew J. Majda
2008 Gui-Qiang Chen
2007 Yuxi Zheng
2006 Alberto Bressan
2005 Charles Fefferman
2004 Benoit Perthame
2003 John Ball
2002 Andrew Stuart
2001 Ciprian Foias
2000 Eitan Tadmor
1999 Heinz-Otto Kreiss
1998 Tai-Ping Liu
1997 Cathleen Morawetz
1996 Pierre-Louis Lions
1995 Luc Tartar
1994 Constantine Dafermos
1993 James Glimm
1992 Andrew J. Majda
1991 Peter Lax