Professor Pierre-Louis Lions

Senior Fellow of Hong Kong Institute for Advanced Study, City University of Hong Kong

Professor at the Collège de France

Member of the Academia Europaea

Member of the French Academy of Sciences

Fields Medalist (1994)

Professor Pierre-Louis Lions

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Professor Pierre-Louis Lions is one of the most prominent experts, worldwide, of the theory of nonlinear partial differential equations. He is a Professor at the prestigious Collège de France in Paris, where he holds the Chair of "Partial Differential Equations and Applications" since 2002.

Professor Pierre-Louis Lions has made profound and lasting contributions to the mathematical analysis of the Boltzmann equation, the compressible Navier-Stokes equations, the Hamilton-Jacobi equations, the Hartree-Fock equation, image processing, viscosity solutions, concentration compactness, mean field games, and stochastic partial differential equations.

Professor Pierre-Louis Lions is Commandeur in the National Order of the Legion of Honor in France. He is a member of the French Academy of Sciences, of the Accademia dei Lincei, of the Academies of Sciences of Argentina, Chile, and Brazil, of the Academia Europaea, of the Istituto Lombardo, of the Accademia di Napoli, of the French Academy of Technologies, of the World Academy of Sciences (TWAS), and of the Royal Academy of Belgium.

Professor Pierre-Louis Lions has received numerous awards, including the prestigious Fields Medal in 1994, the Grand Prize Ampère from the French Academy of Sciences, the Grand Prize from the INRIA, France, the IBM Prize, and the Philip Morris Prize. He is "Doctor Honoris Causa" at Heriot-Watt University, at City University of Hong Kong, at the Ecole Polytechnique Fédérale de Lausanne, at Bucharest University, at University of Santiago of Chile, at Narvik University and at University of Chicago. He is listed as an ISI highly cited researcher.


Major scientific articles

  • “The concentration-compactness principle in the Calculus of Variations, Ann. I.H.P. Anal. Non-lineaire”, 1 (1984), p. 109-145 et 223-283. Riv. Mat. Iberoamericana, 1 (1985), p. 45-121 et p. 145-201.
  • “On the Cauchy problem for Boltzmann equations: global existence and weak stability”. Ann. of Math., 130 (1989), p. 321-366 (avec R.J. Di Perna).
  • “Ordinary differential equations, Sobolev spaces and transport theory”. Inventiores, 98 (1989), p. 511-547 (avec R.J. Di Perna).
  • “Mathematical Topics in Fluid Mechanics”. Oxford Univ. Press, Oxford, Vol. I, 1996 ; Vol. II, 1998.
  • “Thermodynamical limit for Thomas-Fermi type models”. Oxford Univ. Press, Oxford, 1998 (avec I. Catto et C. Le Bris).
  • On Lipschitz solutions of mean field games master equations. arXiv preprint arXiv:2302.05218, 2023. To appear in Journal of Functional Analysis, 2024 (avec Ch. Bertucci et J-M. Lasry).
  • The master equation and the convergence problem in mean field games. AMS-201, Princeton University Press, 2019.

Professional Affiliations

  • Chairman of the Board of Directors of the Ecole Normale Supérieure 
  • Chairman of the of EDF Scientific Council, CEA-DAM, France Telecom, FRAE 
  • Chair of Finance and Durable Development of Paris-Dauphine University, of Paris Tech Scientific Council of Research Initiative “Finance post-crisis”, of EMMA Project, Member (founder) of International
  • Committee of “International Summer School of Applied Mathematics”, Morningside Institute Chinese Academy of Sciences, of Program Committee ICM 2006 
  • Chairman of Institute Louis Bachelier Scientific Council, of the Chair Havas Dauphine EIF “Economics of New Data”
  • Member of the High Council for Science and Technology
  • Member of Board of Trustees and Scientific Council of IMDEA (Madrid), of the BCAM
  • Member of the Board of Directors and Scientific Council of the Fondation Sciences Mathématiques de Paris, Member of the Board of Directors of the Fondation d'Entreprise IXIS
  • Member of Scientific Council of Europlace Institute of Finance, of Risk Foundation
  • Founder and member of Supervisory Board of MFG R&D, Member of the Scientific Committee of the Scor Foundation for science
  • Member of the Comité d'Orientation de l'ENS
  • Member of Société des Amis du Palais de la Découverte
  • Member of the International Advisory Board of the Scuola di Dottorato in Scienze Astronomiche, Chimiche, Fisiche e Mathematiche “Vito Volterra”
  • Member of Scientific Advisory Panel of European Mathematical Society, of International Advisory Board of Institute of Mathematical Sciences of Imperial College
  • Scientific Director of LABEX ILB International
  • Member of the Defence Scientific Council, Member of the Board of Sark and Channel Bridge
  • Consultant at INRIA, BNP-Paribas, EADS, IEF, HAVAS, ILB
  • Director of the Unité d'Enseignement et de Recherche “Mathématiques de la Décision”, 1986-1989 
  • Member of the Conseil d'Administration of the Université Paris-Dauphine, 1988-1991 
  • Director of Ceremade, 1991-1996 
  • Member of the Conseil Scientifique de l'Université Paris-Dauphine, 1992-1996 
  • Member of the Executive Committee of the European Mathematical Society (1990-1994) and of the Société de Mathématiques Appliquées et Industrielles (1989-1993) 
  • Member of the Comité d'Orientation Stratégique de la Recherche from 1995 to 2000 
  • Member of the Conseil d'Orientation de l'Université de Cergy-Pontoise from 1995 to 2000
  • Editorial Board of “Series” : Monographs in Mathematics (Birkhaüser), Partial Differential Equations (Birkhaüser), Advances in Applications for Applied Sciences (World Scientific), Studies in Mathematics and its Applications (Elsevier)
  • Chief Editor of Journal de Mathématiques Pures et Appliquées (JMPA)
  • Editor of Series in Applied Mathematics, North Holland
  • Editorial Board of the Journals : Archives for Rational Mechanics and Analysis, Communications in Partial Differential Equations, Revista Matematica Iberoamericana, Journal of Differential and Integral Equations, Numerische Mathematik, Applied Mathematics Letters, Dynamic Systems and Applications, Mathematical Models and Methods for Applied Sciences, Nonlinear Analysis – Theory Methods and Applications, Asymptotic Theory, Modélisation Mathématique et Analyse Numérique, Communications in Nonlinear Analysis and Applications, Advances in Differential Equations, Numerical Algorithms, Journal de Mathématiques Pures et Appliquées, Comptes-Rendus de l'Académie des Sciences, Discrete and Continuous Dynamical Systems, Mathematical Research Letters, Journal of Inequalities and Applications, Zeitschrift Analysis Anwendungen, Ricercha Matematica, Interfaces and Free Boundaries, Nonlinear Analysis Forum, International Journal of Differential Equations and Applications, Chinese Annals of Mathematics, Mathematical Analysis and Applications, COSMOS (Journal of Science and Technology), Computer Methods in Applied Mechanics and Engineering, Annali di Matematica Pura et Applicata, Foundations of Computational Mathematics, International Journal of Pure and Applied Mathematics, Mathematics and Financial Economics, Bulletin of the Brazilian Mathematical Society, Advances in Nonlinear Studies. Kinetic and Related Models, Mathematics in Action, Nonlinear Differential Equations