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Lines of vortices for solutions of the Ginzburg-Landau equations. (English) Zbl 1186.35214

Summary: For disc domains and for periodic models, we construct solutions of the Ginzburg-Landau equations which verify in the limit of a large Ginzburg-Landau parameter specified qualitative properties: the limit density of the vortices concentrates on lines.

MSC:

35Q56 Ginzburg-Landau equations
82D55 Statistical mechanics of superconductors
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[1] H. Aydi, PhD thesis, Vorticité dans le modèle de Ginzburg-Landau de la supraconductivité, Université Paris XII - Val De Marne, décembre 2004; H. Aydi, PhD thesis, Vorticité dans le modèle de Ginzburg-Landau de la supraconductivité, Université Paris XII - Val De Marne, décembre 2004
[2] H. Aydi, E. Sandier, article in preparation; H. Aydi, E. Sandier, article in preparation
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