Travelling waves for a class of cross-diffusion systems with small parameters
type: Item
instance of: scholarly article
title: Travelling waves for a class of cross-diffusion systems with small parameters
zbMATH Open document ID: 0838.35052
author: Yaping Wu
published in: Journal of Differential Equations
publication date: 1996-05-30T00:00:00Z
review text: This paper is concerned with the existence of the travelling wave solutions for some cross-diffusion systems with small parameters. By using singular perturbation method the existence of the travelling wave solutions with a speed \(c(\varepsilon)\varepsilon\) is proved. This result extends some previous results [see \textit{Y. Hosono} and \textit{M. Mimura}, J. Math. Kyoto Univ. 22, 435-461 (1982; Zbl 0521.92017) and \textit{Y. Hosono}, Jap. J. Appl. Math. 4, 297-359 (1987; Zbl 0655.92017)].
reviewed by: Josef Diblík
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 823556
zbMATH Keywords: travelling wave solutions
zbMATH Keywords: cross-diffusion
MaRDI profile type: Publication
full work available at URL: jdeq.1995.1155
OpenAlex ID: W2041167388
DOI: 10.1006/JDEQ.1995.1155
description: scientific article; zbMATH DE number 823556