Clustering layers and boundary layers in spatially inhomogeneous phase transition problems

Kimie Nakashima, Kazunaga Tanaka

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The existence of solutions with multiple transition layers for the spatially inhomogeneous phase transition problem is discussed. The location and multiplicity of the transition layers, especially the clustering layers and the boundary layers were studied. The existence of complicated dynamics, described in terms of symbolic sequence of integers was proved using Conley index theory.

Original languageEnglish
Pages (from-to)107-143
Number of pages37
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume20
Issue number1
DOIs
Publication statusPublished - 2003 Jan 1

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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