Global attractors for phase-lock equations in superconductivity (Q1599869)
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scientific article; zbMATH DE number 1751456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global attractors for phase-lock equations in superconductivity |
scientific article; zbMATH DE number 1751456 |
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Global attractors for phase-lock equations in superconductivity (English)
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26 May 2003
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This article studies asymptotic behavior of solutions to a system of equations, closely related to the time dependent Ginzburg-Landau equation of superconductivity with an applied force. The author establishes existence of global attractors and provides an estimate for their Hausdorff dimension. The existence of solutions to the system was proved by the author in previous work [Nonlinear Anal. Theory Methods Appl. 42A, 1063-1075 (2000; Zbl 0966.35061)].
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time dependent Ginzburg-Landau equation
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Hausdorff dimension
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