4 citations · 4 across the 9 of their papers we have counts for
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Large-time behavior of a family of finite volume schemes for boundary-driven convection-diffusion equations
Claire Chainais-Hillairet, Maxime Herda
We are interested in the large-time behavior of solutions to finite volume discretizations of convection-diffusion equations or systems endowed with non-homogeneous Dirichlet and N…
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 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…