44 citations · 135 across the 29 of their papers we have counts for
5 papers · 1 filter
Incompressible immiscible multiphase flows in porous media: a variational approach
Clément Cancès, Thomas Gallouët, Leonard Monsaingeon
We describe the competitive motion of (N + 1) incompressible immiscible phases within a porous medium as the gradient flow of a singular energy in the space of non-negative measure…
A new multicomponent Poincaré-Beckner inequality
S. Kondratyev, L. Monsaingeon, D. Vorotnikov
We prove a new vectorial functional inequality of Poincaré-Beckner type. The inequality may be interpreted as an entropy-entropy production one for a gradient flow in the metric sp…
A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow
Stanislav Kondratyev, Léonard Monsaingeon, Dmitry Vorotnikov
We consider a fitness-driven model of dispersal of interacting populations, which was previously studied merely in the case . Based on some optimal transport distance rece…
Numerical investigation of the Free Boundary regularity for a degenerate advection-diffusion problem
Léonard Monsaingeon
We study the free boundary regularity of the traveling wave solutions to a degenerate advection-diffusion problem of Porous Medium type, whose existence was proved in \cite{Monsain…
A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows
Thomas Gallouët, Léonard Monsaingeon
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined…