High-energy solutions for a phase transition problem

[摘要] In this article we study the existence and profile of high-energy solutions for the phase transition model epsilon(2)u(n) - a(x)W'(u) = 0, in (-1, 1), u'(-1) = u'(1) = 0, with W a double well balanced potential and epsilon is a small parameter. These solutions will be shown to be highly oscillatory. We will characterize their asymptotic behavior in terms of an envelope function. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-10-10

[关键词] phase transition;variational methods;highly oscillatory solutions