## 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,
On the solution of the time-dependent Ginzburg-Landau equations for a superconductor in a weak field
โ Scribed by Xiao-Feng Pang
- Publisher
- Springer US
- Year
- 1985
- Tongue
- English
- Weight
- 513 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0022-2291
No coin nor oath required. For personal study only.
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
A non-local generalization of extended irreversible thermodynamics is developed. Both the entropy flux and the evolution equation of the heat flux are obtained as constitutive equations of the theory. The latter equation is used to describe the fluctuations of the heat flux in the Onsager-Machlup fo