Publications (31)
Dirac concentrations in Lotka-Volterra parabolic PDEs
Benoit Perthame, Guy Barles
Asymmetric potentials and motor effect: a large deviation approach
Benoit Perthame, Panagiotis E. Souganidis
Existence of solutions of the hyperbolic Keller-Segel model
Benoit Perthame, Anne-Laure Dalibard
A simple derivation of BV bounds for inhomogeneous relaxation systems
Benoit Perthame, Nicolas Seguin, Magali Tournus
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Alexander Lorz, Tommaso Lorenzi, Michael E. Hochberg +2
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
Gregoire Nadin, Benoit Perthame, Min Tang
On the Inverse Problem for a Size-Structured Population Model
Benoit Perthame, Jorge P. Zubelli
Singular Hamilton-Jacobi equation for the tail problem
Sepideh Mirrahimi, Guy Barles, Benoit Perthame +1
Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description
Anne-Céline Boulanger, Philippe Moireau, Benoit Perthame +1
Rare mutations limit of a steady state dispersion trait model
Benoit Perthame, Panagiotis E. Souganidis
Long-term analysis of phenotypically structured models
Alexander Lorz, Benoit Perthame
Traveling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities
Benoit Perthame, Christian Schmeiser, Min Tang +1
Scalar conservation laws with rough (stochastic) fluxes
Pierre-Louis Lions, Benoit Perthame, Panagiotis E. Souganidis
Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
Pierre-Louis Lions, Benoit Perthame, Panagiotis E. Souganidis
Incompressible limit of mechanical model of tumor growth with viscosity
Benoit Perthame, Nicolas Vauchelet
A Structured Population Model of Cell Differentiation
Marie Doumic, Anna Marciniak-Czochra, Benoit Perthame +1
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
Asymptotic analysis of a selection model with space
Sepideh Mirrahimi, Benoit Perthame
Time fluctuations in a population model of adaptive dynamics
Sepideh Mirrahimi, Benoit Perthame, Panagiotis E. Souganidis
Stochastic averaging lemmas for kinetic equations
Pierre-Louis Lions, Benoit Perthame, Panagiotis E. Souganidis
A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation
Emmanuel Audusse, Marie-Odile Bristeau, Benoit Perthame +1
Modelling the spatial organization of cell proliferation in the developing central nervous system
Jean Clairambault, Vladimir Flores, Benoit Perthame +3
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation
Benoit Perthame, Cristobal Quiñinao, Jonathan Touboul
Mathematical Analysis of a System for Biological Network Formation
Jan Haskovec, Peter Markowich, Benoit Perthame
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
Jean Clairambault, Stephane Gaubert, Benoit Perthame
Free boundary problems for Tumor Growth: a Viscosity solutions approach
Inwon C. Kim, Benoit Perthame, Panagiotis E. Souganidis
Transversal instability for the thermodiffusive reaction-diffusion system
Michal Kolwalczyk, Benoit Perthame, Nicolas Vauchelet
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
On a voltage-conductance kinetic system for integrate and fire neural networks
Benoit Perthame, Delphine Salort
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame, Luis Vega
Notes on a PDE System for Biological Network Formation
Jan Haskovec, Peter Markowich, Benoit Perthame +1