Damped wave dynamics for a complex Ginzburg-Landau equation with low dissipation
Analysis of PDEs
2010-03-30 v1
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.
Keywords
Cite
@article{arxiv.1003.5375,
title = {Damped wave dynamics for a complex Ginzburg-Landau equation with low dissipation},
author = {Evelyne Miot},
journal= {arXiv preprint arXiv:1003.5375},
year = {2010}
}
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29 pages