On the limit of global minimizers for a p-Ginzburg–Landau-type energy
✍ Scribed by Almog, Yaniv; Berlyand, Leonid; Golovaty, Dmitry; Shafrir, Itai
- Book ID
- 121474408
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 257 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0294-1449
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## Abstract The author establishes the essential estimations, the __L__^__p__^ ~__loc__~ and the __C__^__α__^ estimations of |∇__u__~__ε__~ |, where __u__~__ε__~ is the minimizer of a Ginzburg–Landau type functional. Based on the results, the corresponding convergences (when __ε__ → 0) of themin
In this work, the authors first show the existence of global attractors A ε for the following lattice complex Ginzburg-Landau equation: and A 0 for the following lattice Schrödinger equation: Then they prove that the solutions of the lattice complex Ginzburg-Landau equation converge to that of the