Asymptotic expansion for layer solutions of a singularly perturbed reaction-diffusion system

Simple item page
dc.creatorLin, Xiao-Biao
dc.date1994-03-18
dc.date.accessioned2026-07-07T09:15:58Z
dc.date.available2026-07-07T09:15:58Z
dc.descriptionFor a singularly perturbed system of reaction--diffusion equations, assuming that the 0th order solutions in regular and singular regions are all stable, we construct matched asymptotic expansions for formal solutions to any desired order in $ε$. The formal solution shows that there is an invariant manifold of wave-front-like solutions that attracts other nearby solutions. With an additional assumption on the sign of the wave speed, the wave-front-like solutions converge slowly to stable stationary solutions on that manifold.
dc.description50 pages in AMSLatex
dc.identifierhttps://arxiv.org/abs/patt-sol/9403002
dc.identifierhttp://arxiv.org/abs/patt-sol/9403002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153200
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleAsymptotic expansion for layer solutions of a singularly perturbed reaction-diffusion system
dc.typetext

Files

Collections

arXiv