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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★ 2 cited
Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R^2
A. Herczak, M. Olech
In this paper we investigate a system describing electrically charged particles in the whole space R^2. Our main goal is to describe large time behavior of solutions which start th…