Dynamics of vortices for the Complex Ginzburg-Landau equation

Evelyne Miot (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Mots clés: Vortex dynamics; Complex Ginzburg-Landau equation; Vortex dynamics.

Domaines: Equations aux dérivées partielles [math.AP]

Evelyne Miot. Dynamics of vortices for the Complex Ginzburg-Landau equation. 2008. ⟨hal-00334512⟩