A phase plane analysis of a corner layer problem arising in the study of crystalline grain boundaries

Abstract

1 Preliminaries We study the heteroclinic connections described in [1], which are based on the multiparameter phase field model in [6, 2, 3]. Such heteroclinics represent, in that model, interfacial profiles in a highly anisotropic FCC crystal. They are governed by the singularly perturbed equations: ẍ = gx(x, r) ǫ2r̈ = gr(x, r). (1) The right sides are… (More)

Cite this paper

@inproceedings{Fife2006APP, title={A phase plane analysis of a corner layer problem arising in the study of crystalline grain boundaries}, author={Paul C. Fife}, year={2006} }