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math.AP2008★ 3 cited
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…
math.AP2008★ 1 cited
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…