Existence of stationary solutions with transition layers for a class of cross-diffusion systems

Yaping Wu

doi:10.1017/S0308210500002225

Abstract

This paper is concerned with the existence of stationary solutions for some cross-diffusion systems with small parameters. Using a singular perturbation method, we prove the existence of stationary solutions with boundary and interior layers, which extends the results of Fife and Ito to the cross-diffusion cases.

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Existence of stationary solutions with transition layers for a class of cross-diffusion systems

Abstract

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Existence of stationary solutions with transition layers for a class of cross-diffusion systems

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