9 citations · 17 across the 9 of their papers we have counts for
10 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…
Finite volumes for the Stefan-Maxwell cross-diffusion system
Clément Cancès, Virginie Ehrlacher, Laurent Monasse
The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-co…
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…
Numerical reconstruction of the first band(s) in an inverse Hill's problem
Athmane Bakhta, Virginie Ehrlacher, David Gontier
This paper concerns an inverse band structure problem for one dimensional periodic Schrödinger operators (Hill's operators). Our goal is to find a potential for the Hill's operator…
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…