Asymptotics for the time dependent Ginzburg-Landau equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:152

Article

Fan, JS ; Ding, SJ

关键词: asymptotic behavior;    Ginzburg-Landau equations;    heat flow for harmonic maps;   

DOI  :  10.1006/jdeq.1998.3539

来源: Elsevier

【 摘 要 】

In this paper, we prove that as epsilon --> 0 the solution of the complex Ginzburg-Landau equation u(t) - Delta u = (1/epsilon(2)) u(1-\u\(2)), in Omega x R+ converges to the unique solution of the heat flow for harmonic maps Into S-1 under the assumption that the initial and boundary maps have zero degree. (C) 1999 Academic Press.

【 授权许可】

Free