82 citations · 403 across the 26 of their papers we have counts for
35 papers
Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion
Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach +2
Multiple time scales problems are investigated by combining geometrical and analytical approaches. More precisely, for fast-slow reaction-diffusion systems, we first prove the exis…
A priori estimates for solutions to Landau equation under Prodi-Serrin like criteria
Ricardo Alonso, Véronique Bagland, Laurent Desvillettes +1
In this paper, we introduce Prodi-Serrin like criteria which enable to provide a priori estimates for the solutions to the spatially homogeneous Landau equation for all classical s…
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
Laurent Desvillettes, Philippe Laurençot, Ariane Trescases +1
New estimates and global existence results are provided for a class of systems of cross diffusion equations arising from the modeling of chemotaxis with local sensing, possibly fea…
Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system
Laurent Desvillettes, Kim Dang Phung
We consider a system of two reaction-diffusion equations coming out of reversible chemistry. When the reaction happens on the totality of the domain, it is known that exponential c…
A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications
Laurent Desvillettes, Ling-Bing He, Jin-Cheng Jiang
We describe a time-dependent functional involving the relative entropy and the seminorm, which decreases along solutions to the spatially homogeneous Landau equation wi…
Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis
Laurent Desvillettes, Valeria Giunta, Jeff Morgan +1
We consider a system of reaction-diffusion equations including chemotaxis terms and coming out of the modeling of multiple sclerosis. The global existence of strong solutions to th…