Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems

Yasumasa Nishiura, Tohru Tsujikawa

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Instability of mono-Neumann layer solutions to reaction-diffusion systems is proved by using the SLEP method. Mono-Neumann layers are singularly perturbed solutions of boundary layer type which are close to thestable constant state except in a neighborhood of a boundary point and satisfy the Neumann boundary conditions. We also show the dimension of the associated unstable manifold and the asymptotic behavior of the unstable eigenvalue when one of the diffusion coefficients tends to zero.

Original languageEnglish
Pages (from-to)297-239
Number of pages59
JournalHiroshima Mathematical Journal
Volume20
Issue number2
DOIs
Publication statusPublished - 1990 Jul

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Fingerprint Dive into the research topics of 'Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems'. Together they form a unique fingerprint.

  • Cite this