Asymptotic behaviour of time-dependent Ginzburg–Landau equations of superconductivity

✍ Scribed by Anibal Rodriguez-Bernal; Bixiang Wang; Robert Willie

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 166 KB
• Volume: 22
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/(sici)1099-1476(199912)22:18<1647::aid-mma97>3.0.co;2-w

✦ Synopsis

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 ¸;¸ for the Ginzburg}Landau equations in two spatial dimensions.