English

Dynamics of vortices for the Complex Ginzburg-Landau equation

Analysis of PDEs 2008-10-28 v1

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

Cite

@article{arxiv.0810.4782,
  title  = {Dynamics of vortices for the Complex Ginzburg-Landau equation},
  author = {Evelyne Miot},
  journal= {arXiv preprint arXiv:0810.4782},
  year   = {2008}
}