79 citations · 141 across the 22 of their papers we have counts for
3 papers · 2 filters
Numerical approximation of a reaction-diffusion system with fast reversible reaction
R. Eymard, D. Hilhorst, M. Olech
We consider the finite volume approximation of a reaction-diffusion system with fast reversible reaction. We deduce from a priori estimates that the approximate solution converges…
Contraction in and large time behavior for a system arising in chemical reactions and molecular motors
M. Chipot, D. Hilhorst, D. Kinderlehrer +1
We prove a contraction in property for the solutions of a nonlinear reaction--diffusion system whose special cases include intercellular transport as well as reversible chemi…
Long time convergence for a class of variational phase field models
Pierluigi Colli, Danielle Hilhorst, Francoise Issard-Roch +1
In this paper we analyze a class of phase field models for the dynamics of phase transitions which extend the well-known Caginalp and Penrose-Fife models. Existence and uniqueness…