Global C1-solutions of time-dependent complex Ginzburg–Landau equations
✍ Scribed by Akihito Unai
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 70 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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.
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
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