11 August 1956 |
Grasse, Alpes-Maritimes, France
|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
|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.
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 was an invited professor at the Conservatoire National des Arts et Métiers (2000). He is a doctor honoris causa of Heriot-Watt University (Edinburgh), Narvik University College (2014), and of the City University of Hong-Kong and is listed as an ISI highly cited researcher. 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 an effect on the theory of partial differential equations.
- Lions, P. L.; Lasry, J. M. (2007). "Large investor trading impacts on volatility". Annales de l'Institut Henri Poincare (C) Non Linear Analysis 24 (2): 311. doi:10.1016/j.anihpc.2005.12.006.
- Lasry, J. M.; Lions, P. L. (2007). "Mean field games". Japanese Journal of Mathematics 2: 229. doi:10.1007/s11537-007-0657-8.
- Lasry, J. M.; Lions, P. L. (2006). "Jeux à champ moyen. II – Horizon fini et contrôle optimal". Comptes Rendus Mathematique 343 (10): 679. doi:10.1016/j.crma.2006.09.018.
- Lasry, J. M.; Lions, P. L. (2006). "Jeux à champ moyen. I – Le cas stationnaire". Comptes Rendus Mathematique 343 (9): 619. doi:10.1016/j.crma.2006.09.019.
- Pierre-Louis Lions, Equations aux dérivées partielles et applications, Cours et travaux du Collège de France, Paris, 2002-2015.
- "La Médaille Fields : 11 lauréats sur 44 sont issus de laboratoires français., Alain Connes," (PDF). www2.cnrs.fr. Retrieved 11 May 2010.
- Pierre-Louis Lions, « Analyse, modèles et simulations », Université de tous les savoirs, 4, 86-92, Éditions Odile Jacob, Paris, 2001.
- Thomson ISI, Lions, Pierre-Louis, ISI Highly Cited Researchers, retrieved 2009-06-20
- College de France his resume at the Collège de France website (in French)
- O'Connor, John J.; Robertson, Edmund F., "Pierre-Louis Lions", MacTutor History of Mathematics archive, University of St Andrews.
- Pierre-Louis Lions at the Mathematics Genealogy Project
- Pierre-Louis Lions's results at the International Mathematical Olympiad
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