Electron. J. Diff. Eqns., Vol. 2006(2006), No. 61, pp. 1-13.

Asymptotic behavior of solutions to a 2X2 reaction-diffusion system with a cross diffusion matrix on unbounded domains

Salah Badraoui

Abstract:
This article concerns the behavior at $\mp \infty $ of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains. We show that the solutions satisfy the free diffusion system for all positive time whenever the initial distribution has limits at $\mp \infty $.

Submitted October 27, 2005. Published May 11, 2006.
Math Subject Classifications: 35B40, 35B45, 35K55, 35K65.
Key Words: Reaction-diffusion systems; analytic semi-group; local solution; cross diffusion matrix; unbounded domain; asymptotic behavior of solutions.

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Salah Badraoui
Laboratoire LAIG, Université du 08 Mai 1945
BP. 401, Guelma 24000, Algeria
email: sabadraoui@hotmail.com

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