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

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

2010-03-28

arxiv.org/abs/1003.5375v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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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