Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents

被引：4

作者：

Almog, Yaniv ^{[1
]}

Berlyand, Leonid ^{[2
]}

Golovaty, Dmitry ^{[3
]}

Shafrir, Itai ^{[4
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[3] Univ Akron, Dept Math, Akron, OH 44325 USA

[4] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 07期

基金：

美国国家科学基金会;

关键词：

STATES; PHASE; MODEL;

D O I：

10.1063/1.4923332

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the purely superconducting state. We further show that this solution is linearly stable. (C) 2015 AIP Publishing LLC.

引用

页数：13

共 17 条

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