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math.AP2024
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…
math.AP2010★ 32 cited
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…