World's Best Scientists 2026 revealed!
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

Benoît Perthame publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Benoît Perthame sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 392 publications — 93rd percentile

93% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Benoît Perthame D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Benoît Perthame sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 82 D-Index — 97th percentile

97% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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