TY - JOUR
T1 - Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
AU - Nakashima, Kimie
AU - Tanaka, Kazunaga
N1 - Funding Information:
∗Corresponding author. E-mail address: kazunaga@waseda.jp (K. Tanaka). 1Authors are partially supported by Waseda University Grant for Special Research Projects.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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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U2 - 10.1016/S0294-1449(02)00008-2
DO - 10.1016/S0294-1449(02)00008-2
M3 - Article
AN - SCOPUS:0141479615
SN - 0294-1449
VL - 20
SP - 107
EP - 143
JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
IS - 1
ER -