Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity
โ 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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๐ SIMILAR VOLUMES
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
## Abstract We prove the uniqueness of weak solutions of the 3โD timeโdependent GinzburgโLandau equations for superโconductivity with initial data (__ฯ__~0~, __A__~0~)โ __L__^2^ under the hypothesis that (__ฯ__, __A__) โ __L__^__s__^(0, __T__; __L__^__r__,โ^) ร$ L^{\bar s} $(0, __T__;$ L^{\bar r,
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.