25 citations · 29 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
Jean Clairambault, Stephane Gaubert, Benoit Perthame
For monotone linear differential systems with periodic coefficients, the (first) Floquet eigenvalue measures the growth rate of the system. We define an appropriate arithmetico-geo…