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Asymptotics for the minimization of a Ginzburg-Landau functional

✍ Scribed by Fabrice Bethuel; Haim Brezis; Frédéric Hélein


Publisher
Springer
Year
1993
Tongue
English
Weight
871 KB
Volume
1
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES


Asymptotic estimations for a p -Ginzburg
✍ Yutian Lei 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 239 KB

## 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

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## Let be a domain in R n occupied by a superconductor material. According to the Ginzburg-Landau theory, the order parameter (complex-valued) and the induced magnetic potential A of the material must minimize the following Ginzburg-Landau functional: where H is the applied magnetic ÿeld and k is

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Let W be a bounded, simply connected, regular domain of R N , N \ 2. For 0 < e < 1, let u e : W Q C be a smooth solution of the Ginzburg-Landau equation in W with Dirichlet boundary condition g e , i.e., ## ˛-Du in W, u e =g e on "W.

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✍ Hongjun Gao; Guoguang Lin; Jinqiao Duan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 198 KB

In this paper, the authors have studied a generalized Ginzburg᎐Landau equation Ž . in two spatial dimensions 2D . They have shown that this equation, under periodic boundary conditions, has the maximal attractor with finite Hausdorff dimension. This rigorously establishes the foundation for further