Travelling waves for the Gross-Pitaevskii equation in dimension larger than two

被引：36

作者：

Chiron, D ^{[1
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis LIONS, F-75252 Paris, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 1-2期

关键词：

travelling wave; nonlinear Schrodinger equation; vortex ring; Ginzburg-Landau functional;

D O I：

10.1016/j.na.2003.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a different approach than the one given in Bethuel et al.(J. Eur. Math. Soc. 6(1) (2004) 17) of the existence of travelling vortex rings solutions to the Gross-Pitaevskii equation in dimension N greater than or equal to 3. We follow an idea, which was used before in Bethuel and Saut (Ann. IHP Phys. Theor. 70(2) (1999) 147) in dimension 2,, invoking the mountain-pass lemma. It has the advantage of providing a full interval of propagation speeds (0, C-0). (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：175 / 204

页数：30

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