Vortex dynamics of the full time-dependent Ginzburg-Landau equations
✍ Scribed by Daniel Spirn
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 326 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0010-3640
- DOI
- 10.1002/cpa.3018
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📜 SIMILAR VOLUMES
In this paper, we establish the global fast dynamics for the time-dependent Ginzburg}Landau equations of superconductivity. We show the squeezing property and the existence of "nite-dimensional exponential attractors for the system. In addition we prove the existence of the global attractor in ¸;¸ f
## 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,