Clustering layers and boundary layers in spatially inhomogeneous phase transition problems

Kimie Nakashima, Kazunaga Tanaka

    Research output: Contribution to journalArticle

    36 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. Annales: Analyse Non Lineaire/Nonlinear Analysis
    Volume20
    Issue number1
    DOIs
    Publication statusPublished - 2003 Jan

    Fingerprint

    Transition Layer
    Boundary Layer
    Boundary layers
    Phase Transition
    Phase transitions
    Clustering
    Conley Index
    Index Theory
    Existence of Solutions
    Multiplicity
    Integer

    ASJC Scopus subject areas

    • Analysis

    Cite this

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    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.",
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