3 citations · 5 across the 3 of their papers we have counts for
4 papers
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…
Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system
Jean Cauvin-Vila, Virginie Ehrlacher, Amaury Hayat
We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arb…
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino +1
We study some properties of a multi-species degenerate Ginzburg-Landau energy and its relation to a cross-diffusion Cahn-Hilliard system. The model is motivated by multicomponent m…
Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface
Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet +1
We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The…