32 citations · 58 across the 21 of their papers we have counts for
4 papers · 1 filter
Large time behavior of a two phase extension of the porous medium equation
Ahmed Ait Hammou Oulhaj, Clément Cancès, Claire Chainais-Hillairet +1
We study the large time behavior of the solutions to a two phase extension of the porous medium equation, which models the so-called seawater intrusion problem. The goal is to iden…
Convergence of a degenerate microscopic dynamics to the porous medium equation
Oriane Blondel, Clément Cancès, Makiko Sasada +1
We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a…
Simulation of multiphase porous media flows with minimizing movement and finite volume schemes
Clément Cancès, Thomas O. Gallouët, Maxime Laborde +1
The Wasserstein gradient flow structure of the PDE system governing multiphase flows in porous media was recently highlighted in [C. Cancès, T. O. Gallouët, and L. Monsaingeon, {\i…
Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport
Clément Cancès, Claire Chainais-Hillairet, Anita Gerstenmayer +1
An implicit Euler finite-volume scheme for a degenerate cross-diffusion system describing the ion transport through biological membranes is analyzed. The strongly coupled equations…