Global weak solutions for the Ginzburg-Landau equations of superconductivity
✍ Scribed by Bixiang Wang; Ning Su
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
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. All rights reserved.
📜 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 3‐D time‐dependent Ginzburg‐Landau equations for super‐conductivity with initial data (__ψ__~0~, __A__~0~)∈ __L__^2^ under the hypothesis that (__ψ__, __A__) ∈ __L__^__s__^(0, __T__; __L__^__r__,∞^) ×$ L^{\bar s} $(0, __T__;$ L^{\bar r,
In this paper, we prove the global in time existence for weak solutions to a Landau-Lifschitz system with magnetostriction arising from the ferromagnetism theory. We describe also the x-limit set of a solution.