The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution

被引：0

作者：

Chen, Ko-Shin ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 107卷

关键词：

Vortex motion; Ginzburg-Landau; Gross-Pitaevskii; GINZBURG-LANDAU VORTICES; LOWER BOUNDS; DYNAMICS; ENERGY;

D O I：

10.1016/j.na.2014.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the generalized point-vortex problem and the Gross-Pitaevskii equation on a surface of revolution. We find rotating periodic solutions to the generalized point-vortex problem, which have two rings of n equally spaced vortices with degrees +/- 1. In particular we prove the existence of such solutions when the surface is longitudinally symmetric. Then we seek a rotating solution to the Gross-Pitaevskii equation having vortices that follow those of the point-vortex flow fore sufficiently small. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：76 / 85

页数：10

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