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arXiv:1301.5213 [math.AP]AbstractReferencesReviewsResources

Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation

Robert L. Jerrard, Didier Smets

Published 2013-01-22Version 1

We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schr\"odinger dynamics, when the Ginzburg-Landau parameter goes to zero. New ingredients involve across the cores lower bound estimates and approximations.

Categories: math.AP, math-ph, math.MP
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