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

• Robert L. Jerrard ^[1] ; Didier Smets ^[2]
  1. [1] University of Toronto

     University of Toronto

     Canadá

     
  2. [2] Université Pierre & Marie Curie, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 3, 2015, págs. 729-766
• Idioma: inglés
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• Resumen

  • We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schrödinger dynamics, when the Ginzburg-Landau parameter goes to zero. New ingredients include lower bounds and approximations across the vortex cores.