25 citations · 29 across the 7 of their papers we have counts for
6 papers · 1 filter
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…
Bimodality, prion aggregates infectivity and prediction of strain phenomenon
Vincent Calvez, Natacha Lenuzza, Dietmar Oelz +4
We consider a model for the polymerization (fragmentation) process involved in infectious prion self-replication and study both its dynamics and non-zero steady state. We address s…
Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates
Nikolaos Bournaveas, Vincent Calvez, Susana Gutiérrez +1
We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been…
Dirac concentrations in Lotka-Volterra parabolic PDEs
Benoit Perthame, Guy Barles
We consider parabolic partial differential equations of Lotka-Volterra type, with a non-local nonlinear term. This models, at the population level, the darwinian evolution of a pop…
Asymmetric potentials and motor effect: a large deviation approach
Benoit Perthame, Panagiotis E. Souganidis
We provide a mathematical analysis of appearance of the concentrations (as Dirac masses) of the solution to a Fokker-Planck system with asymmetric potentials. This problem has been…
Existence of solutions of the hyperbolic Keller-Segel model
Benoit Perthame, Anne-Laure Dalibard
We are concerned with the hyperbolic Keller-Segel model with quorum sensing, a model describing the collective cell movement due to chemical signalling with a flux limitation for h…