CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS

doi:10.1016/S0252-9602(16)30034-0

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 717-732.doi: 10.1016/S0252-9602(16)30034-0

CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS

陈淑红¹, 郭柏灵²

1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China;
2. Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China

收稿日期:2015-04-10 出版日期:2016-06-25 发布日期:2016-06-25
作者简介:Shuhong CHEN,E-mail:shiny0320@163.com;Boling GUO,E-mail:gbl@mail.iapcm.ac.cn
基金资助:
Supported by National Natural Science Foundation of China (11201415, 11571159); Program for New Century Excellent Talents in Fujian Province University (JA14191).

CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS

Shuhong CHEN¹, Boling GUO²

1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China;
2. Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China

Received:2015-04-10 Online:2016-06-25 Published:2016-06-25
Supported by:
Supported by National Natural Science Foundation of China (11201415, 11571159); Program for New Century Excellent Talents in Fujian Province University (JA14191).

摘要/Abstract

摘要：

In this paper, we prove the existence of global classical solutions to time-dependent Ginzburg-Landau(TDGL) equations. By the properties of Besov and Sobolev spaces, together with the energy method, we establish the global existence and uniqueness of classical solutions to the initial boundary value problem for time-dependent Ginzburg-Landau equations.

关键词: classical solution, time-dependent Ginzburg-Landau theory, Besov space, energy method

Abstract:

Key words: classical solution, time-dependent Ginzburg-Landau theory, Besov space, energy method

中图分类号:

35Q55

陈淑红, 郭柏灵. CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(3): 717-732.

Shuhong CHEN, Boling GUO. CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS[J]. Acta mathematica scientia,Series B, 2016, 36(3): 717-732.

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CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS

CLASSICAL SOLUTIONS OF GENERAL GINZBURG-LANDAU EQUATIONS

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