Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation
Analysis of PDEs
2013-01-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1301.5213,
title = {Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation},
author = {Robert L. Jerrard and Didier Smets},
journal= {arXiv preprint arXiv:1301.5213},
year = {2013}
}