Existence of traveling waves with transition layers for some degenerate cross-diffusion systems

DOI10.3934/CPAA.2012.11.911zbMath1270.35052OpenAlexW1994130562MaRDI QIDQ1947895

Yanxia Wu, Yaping Wu

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.911

zbMATH Keywords

existencetransition layerstraveling wave solutionscross-diffusiondegenerate reaction-diffusion systemanalytic singular perturbation methodcenter manifold approximationfast-slow structure

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

This page was built for publication: Existence of traveling waves with transition layers for some degenerate cross-diffusion systems