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Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity

โœ Scribed by Jishan Fan; Hongjun Gao


Book ID
107376014
Publisher
Higher Education Press and Springer
Year
2007
Tongue
English
Weight
135 KB
Volume
2
Category
Article
ISSN
1673-3452

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๐Ÿ“œ SIMILAR VOLUMES


Global existence of weak solutions of a
โœ Jishang Fan; Song Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

Communicated by J. R. Ockendon Abstract--We study an initial boundary value problem for a time-dependent 3-D Ginzburg-Landau model of superconductivity. We prove the existence of global weak solutions with L 2 initial data and, hence, solve an open problem mentioned in [1]. (~) 2003 Elsevier Science

Uniqueness of weak solutions in critical
โœ Jishan Fan; Hongjun Gao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 1 views

## Abstract We prove the uniqueness of weak solutions of the 3โ€D timeโ€dependent Ginzburgโ€Landau equations for superโ€conductivity with initial data (__ฯˆ__~0~, __A__~0~)โˆˆ __L__^2^ under the hypothesis that (__ฯˆ__, __A__) โˆˆ __L__^__s__^(0, __T__; __L__^__r__,โˆž^) ร—$ L^{\bar s} $(0, __T__;$ L^{\bar r,

Global weak solutions for the Ginzburg-L
โœ Bixiang Wang; Ning Su ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

The time-dependent Ginzburg-Landau equations of superconductivity in three spatial dimensions axe investigated in this paper. We establish the existence of global weak solutions for this model with any L p (p \_> 3) initial data. This work generalizes the results in . (~) 1999 Elsevier Science Ltd.