Center for Mathematical Sciences Lectures

 

invites you to a

CMS Distinguished Lecture series,

Supported by the Mallat Family Fund for Research in Mathematics

to be presented by

 

Abstracts

 

 

 

Professor Luis A. Caffarelli
University of Texas, at  Austin

 

Lecture I: - Monday, 23 June 2014, at 15:30

 Minimal surfaces and free boundary problems: some common approaches to study them

 

Lecture II: Tuesday, 24 June 2014, at 15:30

Free boundary problems involving non local interactions 1

 

Lecture III: Thursday, 26 June 2014, at 15:30

Free boundary problems involving non local interactions 2

 

All lectures will take place in Auditorium 231, Amado Mathematics Building

 

 
Professor Luis A. Caffarelli holds the Sid Richardson Chair in Mathematics at the University of Texas at Austin. 

 

Prof. Caffarelli is the world's leading expert on regularity of solutions of elliptic partial differential equations (PDEs). His early work on free boundary problems was a profound breakthrough which eventually led to the full regularity of the solutions and the boundary under very mild assumptions. A second fundamental contribution by Caffarelli is the study of fully nonlinear elliptic PDEs (including the Monge-Ampere equation), which he revolutionized. Another seminal contribution by Caffarelli is his joint work with Kohn and Nirenberg on partial regularity of solutions of the incompressible Navier-Stokes equation in 3D. Prof. Caffarelli has also produced deep works on homogenization, on equations with nonlocal dissipation, on optimal mass transportation, on combustion and fluids, and on other areas of PDEs.

Prof. Caffarelli is a fellow of the American Academy of Arts and Sciences, and a member of the National Academy of Sciences. He is a recipient of many prestigious prizes, including the Bôcher Memorial Prize (1984); the Rolf Schock Prize (2005); the Leroy P. Steele Prize (2009); and the Wolf Prize in Mathematics (2012). Caffarelli has been awarded Doctor Honoris Causa from many universities including l'Ecole Normale Superieure in Paris, Universidad Autónoma de Madrid, Universidad de la Plata in Argentina, and University of Chicago.

 

 

Prof. Caffarelli's homepage: http://www.ma.utexas.edu/users/caffarel/