Existence of periodic solutions for Ginzburg-Landau equations of superconductivity

被引：8

作者：

Zhan, MQ ^{[1
]}

机构：

[1] Univ N Florida, Dept Math & Stat, Jacksonville, FL 32224 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 249卷 / 02期

关键词：

Ginzburg-Landau (TDGL) equations; periodic solutions; phase-lock equations;

D O I：

10.1006/jmaa.2000.6920

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In an earlier paper (B. Wang, 1999, J. Math. Anal. Appl. 232, 394-412) the author proved the existence of periodic solutions to the Ginzburg-Landau equations of superconductivity in two dimensions. Here we will show that the Ginzburg-Landau equations admit periodic solutions in three-dimensions as well. We also prove the existence of periodic solutions to the phase-lock equations introduced by the author (in press, J. Nonlinear Anal.). (C) 2000 Academic Press.

引用

页码：614 / 625

页数：12

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