Dynamics of vortices for the Complex Ginzburg-Landau equation

Details Dynamics of vortices for the Complex Ginzburg-Landau equation Dynamics of vortices for the Complex Ginzburg-Landau equation

2008-10-27

arxiv.org/abs/0810.4782v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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