Pierre-Louis Lions

Pierre -Louis Lions ( born August 11, 1956 in Grasse, France ) is a French mathematician.

His father, Jacques -Louis Lions was also a prominent mathematician. Lions went to Paris at the Lycée Louis -le- Grand and then studied at the École Normale Supérieure in 1975 until 1979. He received his doctorate in 1979 with Haim Brezis at the University Pierre and Marie Curie and was a researcher at the CNRS. In 1981 he became a professor at the University of Paris - Dauphine. In 1995 he was Research Director at the CNRS. He was also from 1992 polytechnique Professor of Applied Mathematics at the École.

He works primarily in the field of nonlinear partial differential equations, in particular the fluid mechanics. His ideas for the analysis of existence and uniqueness of solutions of such equations, in particular the energy method, characterized by the applicability of many types of equations. In 1983, he led with MG Crandall, the "viscosity " method for the study of nonlinear partial differential equations, then for the Hamilton -Jacobi equation. Since then extended the scope Lions on nonlinear degenerate elliptic partial differential equations of 2nd order. Further work of Lions concerning the Boltzmann equation of statistical mechanics. In 1989, he was with Ronald DiPerna a strict solution for arbitrary initial data.

He currently teaches as a professor of partial differential equations and their applications at the Collège de France in Paris at the École polytechnique as well.

He has been married since 1979 and has a son.

Awards

In 1994 he received the Fields Medal ( plenary lecture at the ICM: On some recent methods for nonlinear partial differential equations ). Other awards include the IBM Award 1987 and the Philip Morris Prize in 1991. Lions an honorary doctorate from Heriot -Watt University ( Edinburgh) and the City University of Hong Kong. He is a member of the French Academy of Sciences ( 1994) and received the Ampere Prize in 1992 and their Doistau - Bleeds Price 1986. He is a Knight of the Legion of Honour. In 1992 he gave a plenary lecture at the first European Congress of Mathematicians in Paris ( On some recent methods in nonlinear partial differential equations ). In 1983 he was invited speaker at the International Congress of Mathematicians in Warsaw (Hamilton -Jacobi - Bellman equations and the optimal control of stochastic systems) and 1990 in Kyoto (On kinetic equations ).

Writings

  • Mathematical Topics in Fluid Mechanics, Volume 1 Incompressible Models, 1996, Oxford Science Publications
  • Mathematical Topics in Fluid Mechanics, Volume 2 Compressible Models, 1998, Oxford Science Publications
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