Damped wave dynamics for a complex Ginzburg-Landau equation with low dissipation

2010/03/28 by Evelyne Miot, Miot, Evelyne
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1003.5375

29 pages

arxiv created 2010/03/28 · arxiv updated 2010/03/30

Abstract

We consider a complex Ginzburg-Landau equation, corresponding to a Gross-Pitaevskii equation with a small dissipation term. We study an asymptotic regime for long-wave perturbations of constant maps of modulus one. We show that such solutions never vanish and we derive a damped wave dynamics for the perturbation.

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