Vol. 2, No. 2, 2009
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Dynamics of vortices for the complex Ginzburg–Landau equation

Evelyne Miot
Vol. 2 (2009), No. 2, 159–186
DOI: 10.2140/apde.2009.2.159
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.

Keywords
complex Ginzburg–Landau equation, vortex dynamics
Mathematical Subject Classification 2000
Primary: 35B20, 35B40, 35Q40, 82D55
Milestones
Received: 21 October 2008
Accepted: 27 March 2009
Published: 1 May 2009
Authors
Evelyne Miot
Laboratoire J.-L. Lions UMR 7598
Université Pierre et Marie Curie
175 rue du Chevaleret
75013 Paris
France