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Benoît Perthame

Benoît Perthame

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Mathematics
France
2026

D-Index & Metrics

Mathematics

D-Index
82
Citations
25023
World Ranking
126
National Ranking
7

Research.com Recognitions

  • 2026 - Research.com Mathematics in France Leader Award
  • 2025 - Research.com Mathematics in France Leader Award
  • 2023 - Research.com Mathematics in France Leader Award
  • 2016 - Member of Academia Europaea
  • 2014 - Member of the European Academy of Sciences

Overview

Benoît Perthame is affiliated with Sorbonne University in France. Their primary field of research is Mathematics, with a focus on subfields including Modeling and Simulation, Statistical and Nonlinear Physics, Applied Mathematics, Public Health, Environmental and Occupational Health, and Computational Theory and Mathematics.

Their research topics cover several areas within mathematical sciences:

  • Mathematical Biology Tumor Growth
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Advanced Mathematical Modeling in Engineering
  • Evolution and Genetic Dynamics
  • Stochastic dynamics and bifurcation
  • Nonlinear Partial Differential Equations
  • Cellular Mechanics and Interactions

Frequent co-authors in their publications include:

  • Delphine Salort
  • Charles Elbar
  • Jakub Skrzeczkowski
  • Hai-Liang Li
  • Qingyou He

Some of the main venues where Benoît Perthame has published research are:

  • arXiv (Cornell University)
  • HAL (Le Centre pour la Communication Scientifique Directe)
  • Journal of Mathematical Biology
  • Mathematical Models and Methods in Applied Sciences
  • Journal of Differential Equations

Recent papers include:

  • Kinetic models for epidemic dynamics with social heterogeneity, 2021, Journal of Mathematical Biology
  • Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension, 2020, Journal de Mathématiques Pures et Appliquées
  • Final size and convergence rate for an epidemic in heterogeneous populations, 2021, Mathematical Models and Methods in Applied Sciences
  • Convergence rate for the incompressible limit of nonlinear diffusion-advection equations, 2022, Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility, 2020, European Journal of Applied Mathematics

Benoît Perthame has contributed to academic books published by recognized publishers. These include:

  • The Mathematics of Mechanobiology, 2020, Springer Nature
  • Modeling and Simulation for Collective Dynamics, 2022, Lecture notes series, Institute For Mathematical Sciences

Awards received include membership in notable scientific academies:

  • Member of Academia Europaea, 2016
  • Member of the European Academy of Sciences, 2014

Best Publications

  • A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

    Emmanuel Audusse;François Bouchut;Marie-Odile Bristeau;Rupert Klein

  • Transport Equations in Biology

    Unknown

  • Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system

    Pierre-Louis Lions;Benoît Perthame

  • Regularity of the moments of the solution of a Transport Equation

    François Golse;Pierre-Louis Lions;Benoît Perthame;Rémi Sentis

  • A kinetic formulation of multidimensional scalar conservation laws and related equations

    P.-L. Lions;B. Perthame;E. Tadmor

  • Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

    Adrien Blanchet;Jean Dolbeault;Benoit Perthame

  • Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation

    Jean-Frédéric Gerbeau;Benoît Perthame

  • Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates

    Pierre-Louis Lions;Benoît Perthame;Panagiotis E. Souganidis

  • Kinetic formulation of the isentropic gas dynamics and $p$-systems

    P. L. Lions;B. Perthame;E. Tadmor

  • Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions

    L. Corrias;B. Perthame;H. Zaag

  • The Gaussian-BGK model of Boltzmann equation with small Prandtl number

    Pierre Andries;Patrick Le Tallec;Jean-Philippe Perlat;Benoı̂t Perthame

  • A kinetic scheme for the Saint-Venant system¶with a source term

    Benoît Perthame;Chiara Simeoni

  • General relative entropy inequality: an illustration on growth models

    Philippe Michel;Philippe Michel;Stéphane Mischler;Benoît Perthame

  • A consistent BGK-type model for gas mixtures

    Pierre Andries;Kazuo Aoki;Benoît Perthame

  • Exit Time Problems in Optimal Control and Vanishing Viscosity Method

    Guy Barles;Benoît Perthame

  • The non-local Fisher-KPP equation: travelling waves and steady states

    Henri Berestycki;Grégoire Nadin;Benoit Perthame;Benoit Perthame;Lenya Ryzhik

  • Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

    Fabio A. C. C. Chalub;Peter A. Markowich;Benoît Perthame;Christian Schmeiser

  • The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.

    Odo Diekmann;Pierre-Emanuel Jabin;Stéphane Mischler;Benoıˆt Perthame;Benoıˆt Perthame

  • Optimal critical mass in the two dimensional Keller–Segel model in R2

    Jean Dolbeault;Benoît Perthame

  • Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme

    A. Mangeney-Castelnau;J.-P. Vilotte;M. O. Bristeau;B. Perthame

  • Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics

    Frédéric Coquel;Benoît Perthame

Frequent Co-Authors

Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Vincent Calvez
Vincent Calvez Centre national de la recherche scientifique, CNRS
François Bouchut
François Bouchut Université Gustave Eiffel
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Stéphane Mischler
Stéphane Mischler Paris Dauphine University
Philippe Michel
Philippe Michel École Polytechnique Fédérale de Lausanne
José A. Carrillo
José A. Carrillo University of Oxford
Lenya Ryzhik
Lenya Ryzhik Stanford University
Luis Vega
Luis Vega University of the Basque Country
Guy Barles
Guy Barles François Rabelais University

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