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

DOI10.2422/2036-2145.201301_008zbMath1333.35253arXiv1301.5213OpenAlexW2962691954MaRDI QIDQ3460882

Didier Smets, Robert Leon Jerrard

Publication date: 8 January 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5213

zbMATH Keywords

vortex dynamicsGross-Pitaevskii equationGinzburg-Landau vortices

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Ginzburg-Landau equations (35Q56)

Related Items (9)

Well-posedness for mean-field evolutions arising in superconductivity ⋮ Multi-vortex crystal lattices in Bose–Einstein condensates with a rotating trap ⋮ Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation ⋮ An inverse problem from condensed matter physics ⋮ Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates ⋮ Geometric hydrodynamics in open problems ⋮ Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities ⋮ Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime

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