Haïm Brezis
Haim Brezis, also Brezis ( born June 1, 1944 in Riom- ès- Montagnes ) is a French mathematician who deals with partial differential equations.
Life and work
Brezis 1971 received his doctorate Gustave Choquet ( problemes unilateraux ) at the University of Paris. 1973 to 1985 he was Maître de conférences at the École polytechnique. He was since 1972 a professor at the University Pierre and Marie Curie ( Paris VI Univ ), where he is now professor emeritus. Since 1987 he was a Distinguished Visiting Professor at Rutgers University and the Technion Haifa since 2004.
He deals with nonlinear partial differential equations and nonlinear functional analysis (nonlinear semigroups, monotone operators, variational inequalities ). He also dealt with specific partial differential equations of mathematical physics and their behavior near singularities, eg the Ginzburg-Landau equations in the theory of superconductors and their vortex solutions of evolution equations, nonlinear oscillation equations, the Thomas-Fermi theory ( statistical equations for the electron distribution in atoms and molecules ) and from the theory of liquid crystals. Similarly, he also dealt with the singular behavior of partial differential equations in problems of differential geometry.
Brezis is a pioneer in the introduction of topological methods in the study of harmonic maps between manifolds ( lead to the many problems of mathematical physics ), especially in the Sobolev spaces of the pictures. Here he worked with, among others, Jean -Michel Coron, Li Yanyan, Laurent Véron and Louis Nirenberg.
Since 1986 he was a corresponding full and since 1988 a member of the Academie des Sciences. He is also a member of the National Academy of Sciences, the American Academy of Arts and Sciences, Romanian, Belgian, Royal Spanish Academies of Sciences, the Accademia dei Lincei and the Academia Europaea. 2004 to 2008 he was vice president of the American Mathematical Society, of which he is a Fellow. He holds honorary doctorates from the Universities of Leiden, Haifa, Bucharest, Beijing, lion, Madrid, Shanghai, the Scuola Internazionale Superiore di Studi Avanzati in Trieste and in Iasi. In 1973 he received the Prix Peccot the Collège de France. In 1976 he received the Prix Carrière and 1985 the Prix Ampere of the Académie des sciences. In 1990 he received the Prix Catalan of the Belgian Academy of Sciences. He is a member of the Institut de France since 1998.
In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver ( Monotone operators, nonlinear semi- groups and applications ).
His PhD is one of the Fields Prize winner Pierre -Louis Lions, Henri Berestycki and Jean -Michel Coron.
Writings
- Surgeon maximaux monotone, North Holland, 1973
- Analysis Fonctionnelle - Théorie et Applications, Masson 1983
- With Fabrice Bethuel, Frédéric Hélein: Ginzburg Landau vortices, Birkhauser, 1994
- Un Juif mathematicien, Edition Beauchesne, 1999
- The interplay in between analysis and topology in some nonlinear partial differential equations, Bull Amer. Math Soc., Volume 40, 2003, pp. 179-201, online
- Functional analysis, Sobolev spaces and partial differential equations, Springer 2010