Some Models of Segregation – Local and Long Range
Speaker: Luis A. Caffarelli
Sunday, June 2
4:00 p.m. (coffee and tea will be served from 3:30 p.m.)
Level 0 auditorium between Al-Jazri and Al-Kindi
(buildings 4 and 5)
Abstract
Segregation models appear in several areas – in physics, where different particles annihilate on contact, in population dynamics, where different species cannot coexist, or in equipartition problems in geometry. There is considerable literature in this area, and this lecture will include several results in the local case where particles are separated by an interaction surface, and some new results in the case when there is segregation at long range and a full dividing region between species.
About the President’s Distinguished Visiting Speaker Series
The President’s Distinguished Visiting Speaker Series features lectures by internationally eminent researchers renowned for their leading-edge interdisciplinary research.
About Luis A. Caffarelli
Luis A. Caffarelli obtained his Masters of Science (1969) and PhD (1972) at the University of Buenos Aires. Since 1996 he has held the Sid Richardson Chair in Mathematics at the University of Texas at Austin. He also has been a professor at the University of Minnesota, the University of Chicago, the Institute for Advanced Study, and the Courant Institute of Mathematical Sciences at New York University. In 1991 he was elected to the National Academy of Sciences and he received the Bôcher Prize in 1984. He also received the prestigious Rolf Schock Prize in Mathematics from the Royal Swedish Academy of Sciences, the Leroy P. Steele Prize for Lifetime Achievement in Mathematics, and the Wolf Prize.
Professor Caffarelli is a member of the American Mathematical Society, the Union Matematica Argentina, the American Academy of Arts and Sciences, the National Academy of Sciences, and the Pontifical Academy of Sciences.
The focus of Professor Caffarelli’s research has been in the area of elliptic nonlinear partial differential equations and their applications. His research has ranged from theoretical questions about the regularity of solutions to fully nonlinear elliptic equations to partial regularity properties of Navier Stokes equations. Some of his most significant contributions are the regularity of free boundary problems and solutions to nonlinear elliptic partial differential equations, optimal transportation theory and, more recently, results in the theory of homogenization.