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Periodic minimizers of the anisotropic Ginzburg–Landau model

✍ Scribed by Stan Alama; Lia Bronsard; Etienne Sandier

Publisher
Springer
Year
2009
Tongue
English
Weight
287 KB
Volume
36
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES

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Asymptotics of minimizers for the one-dimensional Ginzburg–Landau model of superconductivity
✍ Wanghui Yu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 120 KB

## 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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✍ Yutian Lei 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 215 KB

The author studies the weak convergence for the gradient of the minimizers for a second order energy functional when the parameter tends to 0. And this paper is also concerned with the location of the zeros and the blow-up points of the gradient of the minimizers of this functional. Finally, the str