Global Well-posedness of Weak Solutions to the Time-dependent Ginzburg-Landau Model for Superconductivity

Fan Jishan; Ozawa Tohru

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Global Well-posedness of Weak Solutions to the Time-dependent Ginzburg-Landau Model for Superconductivity

机译：全球弱势解决方案弱势解决方案的超导模型

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摘要

We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

机译：通过库仑仪表，我们证明了依赖于吉因堡 - 地兰系统的全球存在和唯一性。

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来源
《Taiwanese journal of mathematics》 |2018年第4期|共8页
作者
Fan Jishan; Ozawa Tohru;
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作者单位

Nanjing Forestry Univ Dept Appl Math Nanjing 210037 Jiangsu Peoples R China;

Waseda Univ Dept Appl Phys Tokyo 1698555 Japan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Ginzburg-Landau model; superconductivity; Lorentz gauge;

机译：Ginzburg-Landau模型;超导;洛伦兹衡量;

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专利

1. Global Well-posedness of Weak Solutions to the Time-dependent Ginzburg-Landau Model for Superconductivity [J] . Fan Jishan, Ozawa Tohru Taiwanese journal of mathematics . 2018,第4期

机译：全球弱势解决方案弱势解决方案的超导模型
2. Global existence of weak solutions of a time-dependent 3-D Ginzburg-Landau model for superconductivity [J] . Fan JS., Jiang S. Applied mathematics letters . 2003,第3期

机译：具有时间依赖性的3D Ginzburg-Landau超导模型的弱解的全局存在
3. Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges [J] . Jishan Fan, Tohru Ozawa Nonlinear Analysis and Differential Equations . 2016,第9a12期

机译：具有四个新规格的超导电性的时变Ginzburg-Landau模型的全球强大解决方案
4. SYMMETRIC VORTEX SOLUTIONS IN THE U(1) AND SO(5) GINZBURG-LANDAU MODELS OF SUPERCONDUCTIVITY [C] . S. ALAMA, L. BRONSARD, NATO NATO advanced study institute on PDE's in models of superfluidity, superconductivity and reactive flows . 2002

机译：U（1）等（5）吉兹堡 - Landau模型的对称涡旋解决方案超导
5. An optimal control problem for a time-dependent Ginzburg-Landau model of superconductivity. [D] . Lin, Haomin. 2008

机译：时变的Ginzburg-Landau超导模型的最优控制问题。
6. The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates [O] . M. J. P. Cullen, T. Kuna, B. Pelloni, -1

机译：根瘤坐标中自由表面半地嗜酸性方程的稳定性原理和全局弱解
7. Global existence of weak solutions of a time-dependent 3-D Ginzburg-Landau model for superconductivity [O] . Fan Jishang, Jiang Song 2003

机译：具有时间依赖性的3D Ginzburg-Landau超导模型的弱解的整体存在
8. Parallel solution of the time-dependent Ginzburg-Landau equations and other experiences using BlockComm-Chameleon and PCN on the IBM SP, Intel iPSC/860, and clusters of workstations [R] . Coskun, E., Kwong, M. K. 1995

机译：在IBm sp，Intel ipsC / 860和工作站集群上使用BlockComm-Chameleon和pCN的时间依赖Ginzburg-Landau方程和其他经验的并行解决方案

Global Well-posedness of Weak Solutions to the Time-dependent Ginzburg-Landau Model for Superconductivity

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