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We consider the mixed Ginzburg-Landau flow that is supplemented withconvective derivatives of the unknown function. We show that the associatedvortex motion law is the mixed flow of the renormalized energy with newnonlinear forcing terms. These terms are uniquely determined by the extra termsin the initial PDE. Our proof relies on the assumption that the initial dataare close to optimal.

Motion of the Ginzburg-Landau vortices for the mixed flow with convective forcing