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- Benoît Perthame

Mathematics

France

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
75
Citations
18,946
341
World Ranking
131
National Ranking
9

2023 - Research.com Mathematics in France Leader Award

2022 - Research.com Mathematics in France Leader Award

2016 - Member of Academia Europaea

2014 - Member of the European Academy of Sciences

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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)**

1133 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)**

744 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)**

644 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)**

602 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)**

505 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)**

503 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)**

441 Citations

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

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

Communications in Mathematical Physics **(1994)**

411 Citations

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

L. Corrias;B. Perthame;H. Zaag.

Milan Journal of Mathematics **(2004)**

344 Citations

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