Dynamics of vortices for the complex Ginzburg–Landau equation

Evelyne Miot

doi:10.2140/apde.2009.2.159

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Home > Journals > Anal. PDE > Volume 2 > Issue 2 > Article

2009 Dynamics of vortices for the complex Ginzburg–Landau equation

Evelyne Miot

Anal. PDE 2(2): 159-186 (2009). DOI: 10.2140/apde.2009.2.159

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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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Evelyne Miot. "Dynamics of vortices for the complex Ginzburg–Landau equation." Anal. PDE 2 (2) 159 - 186, 2009. https://doi.org/10.2140/apde.2009.2.159