Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation
classification
🧮 math.AP
math-phmath.MP
keywords
dynamicsginzburg-landauacrossapproximationsasymptoticalbackgroundboundcores
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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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