Benoit Perthame

Orcid: 0000-0002-7091-1200

According to our database1, Benoit Perthame authored at least 32 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Confined run-and-tumble model with boundary aggregation: long time behavior and convergence to the confined Fokker-Planck model.
CoRR, 2024

2022
Motility Switching and Front-Back Synchronisation in Polarised Cells.
J. Nonlinear Sci., 2022

An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics.
J. Comput. Phys., 2022

2021
Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary.
SIAM J. Math. Anal., 2021

A Nonexpanding Transport Distance for Some Structured Equations.
SIAM J. Math. Anal., 2021

2019
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations.
Networks Heterog. Media, 2019

Backward Parabolicity, Cross-Diffusion and Turing Instability.
J. Nonlinear Sci., 2019

2017
Toward an integrated workforce planning framework using structured equations.
Eur. J. Oper. Res., 2017

Employee turnover prediction and retention policies design: a case study.
CoRR, 2017

2016
Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes.
SIAM J. Numer. Anal., 2016

Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws.
SIAM/ASA J. Uncertain. Quantification, 2016

2013
Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model.
SIAM J. Appl. Math., 2013

2012
A Singular Hamilton-Jacobi Equation Modeling the Tail Problem.
SIAM J. Math. Anal., 2012

Analysis of a simplified model of the urine concentration mechanism.
Networks Heterog. Media, 2012

2011
A Structured Population Model of Cell Differentiation.
SIAM J. Appl. Math., 2011

Mathematical methods and modelling of biophysical phenomena.
Math. Comput. Model., 2011

2010
Mathematical Description of Bacterial Traveling Pulses.
PLoS Comput. Biol., 2010

2008
Mathematical methods and modeling of biophysical phenomena.
Math. Comput. Model., 2008

Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces.
Math. Comput. Model., 2008

Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle.
Math. Comput. Model., 2008

2007
Upwinding of the source term at interfaces for Euler equations with high friction.
Comput. Math. Appl., 2007

2005
Total oscillation diminishing property for scalar conservation laws.
Numerische Mathematik, 2005

2004
A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows.
SIAM J. Sci. Comput., 2004

Upwinding sources at interfaces in conservation laws.
Appl. Math. Lett., 2004

2003
Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws.
SIAM J. Numer. Anal., 2003

Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law.
SIAM J. Math. Anal., 2003

Equilibrium schemes for scalar conservation laws with stiff sources.
Math. Comput., 2003

2000
Optimal Approximations of Transport Equations by Particle and Pseudoparticle Methods.
SIAM J. Math. Anal., 2000

1999
Dispersion Lemmas Revisited.
VLSI Design, 1999

On The Motion of Dispersed Balls in a Potential Flow: A Kinetic Description of the Added Mass Effect.
SIAM J. Appl. Math., 1999

1997
An Introduction to Kinetic Schemes for Gas Dynamics.
Proceedings of the An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics for Conservation Laws, 1997

1996
A MUSCL method satisfying all the numerical entropy inequalities.
Math. Comput., 1996


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