Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity (Q2708159)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity |
scientific article |
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14 November 2001
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Ginzburg-Landau equations
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superconductivity
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existence
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uniqueness
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0.9764111
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0.9407352
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0.9363729
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0.93201804
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0.92887586
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0.9280476
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0.92613333
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0.9245571
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0.9228097
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Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity (English)
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The authors consider the Cauchy problem for the Ginzburg-Landau equations in dimensions 2 and 3. In dimension 2 it is shown that the problem is well-posed in \(L^2\). In the three-dimensional case the existence of solutions for \(L^3\) initial data is proved, while a uniqueness result is obtained for \(L^4\) initial data.
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