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

Published 22 Jan 2013 in math.AP, math-ph, and math.MP | (1301.5213v1)

Abstract: 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.

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