89 citations · 135 across the 11 of their papers we have counts for
3 papers · 1 filter
On the entropic structure of reaction-cross diffusion systems
Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa +1
This paper is devoted to the study of systems of reaction-cross diffusion equations arising in population dynamics. New results of existence of weak solutions are presented, allowi…
BV-regularity of the Boltzmann equation in Non-Convex Domains
Yan Guo, Chanwoo Kim, Daniela Tonon +1
Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a n…
New results for triangular reaction cross diffusion system
Laurent Desvillettes, Ariane Trescases
We present an approach based on entropy and duality methods for triangular reaction cross diffusion systems of two equations, in which cross diffusion terms appear only in one of t…