Regularity and nonexistence results for some free-interface problems related to Ginzburg-Landau vortices (Q1018202)
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scientific article; zbMATH DE number 5553698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity and nonexistence results for some free-interface problems related to Ginzburg-Landau vortices |
scientific article; zbMATH DE number 5553698 |
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Regularity and nonexistence results for some free-interface problems related to Ginzburg-Landau vortices (English)
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13 May 2009
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Summary: We study regularity and nonexistence properties for some free-interface problems arising in the study of limiting vorticities associated to the Ginzburg-Landau equations with magnetic field in two dimensions. Our results imply in particular that if these limiting vorticities concentrate on a smooth closed curve then they have a distinguished sign; moreover, if the domain is thin then solutions of the Ginzburg-Landau equations cannot have a number of vortices much larger than the applied magnetic field.
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free-interface problems
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Ginzburg-Landau equations
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limiting vorticities
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