82 citations · 403 across the 26 of their papers we have counts for
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math.AP2014
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…
math.AP2014
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…
math.AP2014★ 82 cited
Entropy dissipation estimates for the Landau equation in the Coulomb case and applications
Laurent Desvillettes
We present in this paper an estimate which bounds from below the entropy dissipation D(f) of the Landau operator with Coulomb interaction by a weighted H^1 norm of the square root…