Pierre-Louis Lions

Pierre-Louis Lions

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

His father Jacques-Louis Lions was also an eminent mathematician. Lions attended the Lycée Louis-le-Grand in Paris and then studied at the École normal supérieure from 1975 to 1979. He received his doctorate in 1979 under Haïm Brézis at the University of Pierre and Marie Curie and then was a researcher at the CNRS . In 1981 he became a professor at the University of Paris-Dauphine . In 1995 he became Director of Research at CNRS. In addition, from 1992 he was professor of applied mathematics at the École polytechnique .

He mainly works in the field of nonlinear partial differential equations , especially fluid mechanics . His ideas for analyzing the existence and uniqueness of solutions to such equations, especially the energy method , are characterized by their applicability to many types of equations. In 1983, together with MG Crandall, he introduced the "viscosity method" for studying nonlinear partial differential equations, at that time for the Hamilton-Jacobi equation . Since then, Lions has expanded the scope to include nonlinear degenerate elliptic partial differential equations of the 2nd order. Other work by Lions involves the Boltzmann equation of statistical mechanics. In 1989 he gave Ronald DiPerna a strict solution for any initial data.

He is currently professor for partial differential equations and their applications at the Collège de France in Paris and at the École polytechnique .

He has been married since 1979 and has one 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 1987 IBM Prize and the 1991 Philip Morris Prize. Lions holds honorary doctorates 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 its Ampère Prize in 1992 and its Doistau-Blutet Prize in 1986. Since 1995 he has been a full member of the Academia Europaea . He is a Knight of the Legion of Honor. 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 in 1990 in Kyoto ( On kinetic equations ).

Fonts

• 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

Web links

• John J. O'Connor, Edmund F. Robertson :  Pierre-Louis Lions. In: MacTutor History of Mathematics archive .