We consider a complex Ginzburg-Landau equation that contains a Schrodinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.
MK was supported by DFG SFB 611. DS was supported by NSF grant DMS-0707714.
Kurzke, Matthias; Melcher, Christof; Moser, Roger; Spirn, Daniel.
Dynamics for Ginzburg-Landau vortices under a mixed flow.
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