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math.AP2008
Dynamics of vortices for the Complex Ginzburg-Landau equation
Evelyne Miot
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 wel…
math.AP2008
Uniqueness for the vortex-wave system when the vorticity is constant near the point vortex
Christophe Lacave, Evelyne Miot
We prove uniqueness for the vortex-wave system with a single point vortex introduced by Marchioro and Pulvirenti in the case where the vorticity is initially constant near the poin…