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.
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