H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 75 Citations 19,254 264 World Ranking 77 National Ranking 6

Research.com Recognitions

Awards & Achievements

2016 - Member of Academia Europaea

2014 - Member of the European Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

His primary scientific interests are in Mathematical analysis, Conservation law, Kinetic energy, Partial differential equation and Applied mathematics. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Classical mechanics and Nonlinear system. Benoît Perthame has included themes like Laplace transform and Degenerate energy levels in his Nonlinear system study.

His Conservation law research includes themes of Compact space, Scalar and Isentropic process. The study incorporates disciplines such as Upwind scheme, Potential theory and Thermodynamic limit in addition to Kinetic energy. His Applied mathematics research incorporates elements of Numerical analysis, Ordinary differential equation and Finite volume method.

His most cited work include:

  • A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows (650 citations)
  • Transport equations in biology (590 citations)
  • Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system (457 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Mathematical analysis, Applied mathematics, Nonlinear system, Statistical physics and Partial differential equation. His Mathematical analysis study integrates concerns from other disciplines, such as Type and Boundary. His studies in Applied mathematics integrate themes in fields like Parabolic partial differential equation, Mathematical optimization, Constant coefficients and Calculus.

His Statistical physics research is multidisciplinary, incorporating elements of Stationary state and Asymptotic analysis. His biological study deals with issues like Finite volume method, which deal with fields such as Numerical analysis. He combines subjects such as Compressibility, Free boundary problem and Hamilton–Jacobi equation with his study of Limit.

He most often published in these fields:

  • Mathematical analysis (54.11%)
  • Applied mathematics (30.17%)
  • Nonlinear system (22.94%)

What were the highlights of his more recent work (between 2014-2021)?

  • Mathematical analysis (54.11%)
  • Statistical physics (20.45%)
  • Applied mathematics (30.17%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Mathematical analysis, Statistical physics, Applied mathematics, Mathematical and theoretical biology and Asymptotic analysis. His research in Mathematical analysis intersects with topics in Type, Compressibility and Boundary. His Statistical physics research is multidisciplinary, incorporating perspectives in Stationary state, Partial differential equation and Pattern formation.

His Applied mathematics study combines topics from a wide range of disciplines, such as Parabolic partial differential equation, Nonlinear system and Balanced flow. His study in Mathematical and theoretical biology is interdisciplinary in nature, drawing from both Complex system, Monotonic function and Stiffness. His research on Asymptotic analysis also deals with topics like

  • Bounded variation which intersects with area such as Lipschitz continuity, Variable and Domain,
  • Compact space that intertwine with fields like Space.

Between 2014 and 2021, his most popular works were:

  • Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors (83 citations)
  • Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors (83 citations)
  • Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors (83 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Benoît Perthame mostly deals with Mathematical analysis, Asymptotic analysis, Mathematical and theoretical biology, Type and Statistical physics. His Mathematical analysis study combines topics in areas such as Motion and Compressibility. His research in Mathematical and theoretical biology intersects with topics in Numerical analysis, Partial differential equation, Stiffness and Applied mathematics.

He has researched Applied mathematics in several fields, including Upwind scheme, Simple, Mathematical proof and Sensitivity. His Type research focuses on Boundary and how it relates to Term, Viscosity and Classification of discontinuities. His Statistical physics research includes themes of Theoretical physics, Scaling and Dynamics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

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

Emmanuel Audusse;François Bouchut;Marie-Odile Bristeau;Rupert Klein.
SIAM Journal on Scientific Computing (2004)

1036 Citations

Transport equations in biology

Benoît Perthame.
Published in <b>2007</b> in Basel by Birkhäuser (2007)

921 Citations

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

Pierre-Louis Lions;Benoît Perthame.
Inventiones Mathematicae (1991)

614 Citations

Regularity of the moments of the solution of a Transport Equation

François Golse;Pierre-Louis Lions;Benoît Perthame;Rémi Sentis.
Journal of Functional Analysis (1988)

586 Citations

A kinetic formulation of multidimensional scalar conservation laws and related equations

P.-L. Lions;B. Perthame;E. Tadmor.
Journal of the American Mathematical Society (1994)

555 Citations

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

Jean-Frédéric Gerbeau;Benoît Perthame.
Discrete and Continuous Dynamical Systems-series B (2001)

485 Citations

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

Adrien Blanchet;Jean Dolbeault;Benoit Perthame.
Electronic Journal of Differential Equations (2006)

479 Citations

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.
Communications on Pure and Applied Mathematics (1998)

426 Citations

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

P.-L. Lions;B. Perthame;E. Tadmor.
Communications in Mathematical Physics (1994)

390 Citations

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

L. Corrias;B. Perthame;H. Zaag.
Milan Journal of Mathematics (2004)

352 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

If you think any of the details on this page are incorrect, let us know.

Contact us

Top Scientists Citing Benoît Perthame

José A. Carrillo

José A. Carrillo

University of Oxford

Publications: 86

Kenneth H. Karlsen

Kenneth H. Karlsen

University of Oslo

Publications: 58

François Bouchut

François Bouchut

Université Gustave Eiffel

Publications: 55

Gui-Qiang Chen

Gui-Qiang Chen

University of Oxford

Publications: 55

Vincent Calvez

Vincent Calvez

Claude Bernard University Lyon 1

Publications: 54

Philippe Laurençot

Philippe Laurençot

Toulouse Mathematics Institute

Publications: 51

Gerhard Rein

Gerhard Rein

University of Bayreuth

Publications: 50

Alexander Kurganov

Alexander Kurganov

Southern University of Science and Technology

Publications: 46

Shi Jin

Shi Jin

University of Wisconsin–Madison

Publications: 42

Nicola Bellomo

Nicola Bellomo

University of Granada

Publications: 41

Chi-Wang Shu

Chi-Wang Shu

Brown University

Publications: 36

Nader Masmoudi

Nader Masmoudi

Courant Institute of Mathematical Sciences

Publications: 35

Pierre Degond

Pierre Degond

Toulouse Mathematics Institute

Publications: 35

Stéphane Mischler

Stéphane Mischler

Paris Dauphine University

Publications: 35

Lorenzo Pareschi

Lorenzo Pareschi

University of Ferrara

Publications: 32

Something went wrong. Please try again later.