Luis Caffarelli
Luis Angel Caffarelli ( born December 8, 1948 in Buenos Aires ) is an American- Argentine mathematician who deals with partial differential equations.
Life
Caffarelli studied at the University of Buenos Aires, in 1968 where he made his master's degree and was awarded his doctorate in 1972 Calixto Calderon. After that, he was at the University of Minnesota, where he was an assistant professor in 1975, associate professor in 1977 and professor from 1979 to 1983. At the same time, he was from 1980 to 1982 professor at the Courant Institute of Mathematical Sciences of New York University. 1983 to 1986 he was professor at the University of Chicago and from 1986 to 1996 at the Institute for Advanced Study. 1994 to 1997 he was again a professor at the Courant Institute, and he has been since 1997 professor at the University of Texas at Austin (Department of Computational Engineering and Sciences ).
Caffarelli has been dealing with free boundary value problems of nonlinear partial differential equations. The edges on which the boundary conditions for the solution of the differential equation problems are given are, this variable (an example is the description of Zufrierens a lake with partial differential equations). He is also known for his studies on specific non-linear partial differential equations, such as the Monge - Ampère equation (together with Louis Nirenberg, Joel Spruck and Joseph Kohn ) or partial differential equations for flow in porous media (important and at great expense examined in the oil production ). He led from 1990 a viscosity solutions. With Nirenberg and Robert V. Kohn, he proved in 1982 Regularitätssätze about solving the Navier -Stokes equations ( set of Caffarelli - Kohn- Nirenberg ).
By Mikhail Feldman and Robert McCann, he gave in 2002 a constructive proof of a transportation problem of Monge, the first V. Sudakov in 1976 sparked.
Caffarelli has both the Argentine and the U.S. citizenship. He is a member of the American Academy of Arts and Sciences, the National Academy of Sciences ( since 1991), papal and Argentine Academy of Sciences and the Accademia dei Lincei. He is a Fellow of the American Mathematical Society. Caffarelli is an honorary doctorates from the universities of Madrid, San Luis, La Plata and the École normale supérieure. In 2005 he was awarded the Rolf Schock Prize, in 1982 the Stampacchia Prize and in 1984 the Bôcher Memorial Prize. In 1985 he was Guggenheim Fellow. He was invited speaker at the International Congress of Mathematicians in Warsaw 1983 ( Variational problems with free boundaries ) and in Beijing 2002 ( Plenary Lecture: Nonlinear elliptic theory and the Monge - Ampere Equation). In 2009 he was awarded the Leroy P. Steele Prize for Lifetime Achievement and 2014 with the for Seminal Contribution to Research for his work with Nirenberg and Kohn 1982. He received the 2012 Wolf Prize in Mathematics awarded.
His doctoral counts Ovidiu Savin.
Writings
- With Cabré Fully Nonlinear Elliptic Equations. American Mathematical Society, 1995, ISBN 0-8218-0437-5.
- With salsa: Geometric Approach to Free Boundary problem. American Mathematical Society, 2005, ISBN 0-8218-3784-2.