2016 - Member of Academia Europaea
2014 - Member of the European Academy of Sciences
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 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.
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
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)
Transport equations in biology
Published in <b>2007</b> in Basel by Birkhäuser (2007)
Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system
Pierre-Louis Lions;Benoît Perthame.
Inventiones Mathematicae (1991)
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)
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)
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)
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)
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)
Kinetic formulation of the isentropic gas dynamics and $p$-systems
P.-L. Lions;B. Perthame;E. Tadmor.
Communications in Mathematical Physics (1994)
Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions
L. Corrias;B. Perthame;H. Zaag.
Milan Journal of Mathematics (2004)
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.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: