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Dynamics of vortices for the Complex Ginzburg-Landau equation

Evelyne Miot

Abstract

We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
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Dates and versions

hal-00334512 , version 1 (27-10-2008)

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  • HAL Id : hal-00334512 , version 1

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Evelyne Miot. Dynamics of vortices for the Complex Ginzburg-Landau equation. 2008. ⟨hal-00334512⟩
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