Vortex dynamics for the Ginzburg-Landau wave equation (Q1303864)
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scientific article; zbMATH DE number 1339435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vortex dynamics for the Ginzburg-Landau wave equation |
scientific article; zbMATH DE number 1339435 |
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Vortex dynamics for the Ginzburg-Landau wave equation (English)
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23 July 2000
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The author studies the vortex dynamics of a singular perturbed cubic nonlinear wave equation of Ginzburg-Landau type. Under some strong assumptions on the initial data it is proved that the zero limit behavior (for vanishing perturbation parameter) is precisely given by an ODE dynamics law conjectured by Lin which involves a renormalized energy introduced by Bethuel, Brézis and Hélein. The method relies heavily on refined and quite technical energy estimates.
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vortex dynamics
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Ginzburg-Landau equation
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