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

Published online by Cambridge University Press:  12 July 2007

Yaping Wu
Yaping Wu
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1493 - 1511
Copyright
Copyright © Royal Society of Edinburgh 2002

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