32 citations · 32 across the 3 of their papers we have counts for
3 papers
Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach
Clément Cancès, Léonard Monsaingeon, Andrea Natale
We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…
Cross-diffusion systems coupled via a moving interface
Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet +1
We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffus…
Two-phase flows involving capillary barriers in heterogeneous porous media
Clément Cancès, Thierry Gallouet, Alessio Porretta
We consider a simplified model of a two-phase flow through a heterogeneous porous medium, in which the convection is neglected. This leads to a nonlinear degenerate parabolic probl…