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.
|Number of pages||37|
|Journal||Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire|
|Publication status||Published - 2003|
ASJC Scopus subject areas
- Mathematical Physics
- Applied Mathematics