9 citations · 17 across the 9 of their papers we have counts for
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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…
Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann
The aim of this article is to study a Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects, degenerate mobility and where only one of the species does sepa…
Strong solutions and weak-strong stability in a system of cross-diffusion equations
Judith Berendsen, Martin Burger, Virginie Ehrlacher +1
Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task in the general case, and there exist very few results in this direction. In this wo…
Cross-diffusion systems with non-zero-flux boundary conditions on a moving domain
Athmane Bakhta, Virginie Ehrlacher
We propose and analyze a one-dimensional multi-species cross-diffusion system with non-zero-flux boundary conditions on a moving domain, motivated by the mod- eling of a Physical V…
Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain
Athmane Bakhta, Virginie Ehrlacher
The aim of this note is to present preliminary existence results for a system of cross-diffusion equations defined on a domain with moving boundaries, which model the evolution of…