Pierre-Louis Lions

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Pierre-Louis Lions
Born (1956-08-11) 11 August 1956 (age 57)
Grasse, Alpes-Maritimes, France
Nationality French
Fields Mathematics
Institutions Collège de France
University of Paris-Dauphine
Alma mater École normale supérieure
Thesis Sur quelques classes d'équations aux dérivees partielles non linéaires et leur résolution numérique (1979)
Doctoral advisor Haïm Brezis
Doctoral students Benedicte Alziary
Maria Esteban
Olivier Guéant
Gilles Motet
Benoît Perthame
Cédric Villani
Known for Nonlinear partial differential equations
Mean field game theory
Notable awards Fields Medal (1994)

Pierre-Louis Lions (born 11 August 1956) is a French mathematician. His parents were Jacques-Louis Lions, a mathematician and at that time professor at the University of Nancy, who became President of the International Mathematical Union, and Andrée Olivier, his wife. He graduated from the École normale supérieure in 1977 (same year as Jean-Christophe Yoccoz). Refusing to take the agrégation in Mathematics, he chose to carry out research in applied mathematics and received his doctorate from the University of Pierre and Marie Curie in 1979.[1]

He studies the theory of nonlinear partial differential equations, and received the Fields Medal for his mathematical work in 1994 while working at the University of Paris-Dauphine. Lions was the first to give a complete solution to the Boltzmann equation with proof. Other awards Lions received include the IBM Prize in 1987 and the Philip Morris Prize in 1991. He is a doctor honoris causa of Heriot-Watt University (Edinburgh) and of the City University of Hong-Kong and is listed as an ISI highly cited researcher.[2] Currently, he holds the position of Professor of Partial differential equations and their applications at the prestigious Collège de France in Paris as well as a position at École Polytechnique.

In the paper "Viscosity solutions of Hamilton-Jacobi equations" (1983), written with Michael G. Crandall, he introduced the notion of viscosity solutions. This has had a great effect on the theory of partial differential equations.

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