Vortices in the Magnetic Ginzburg-Landau Model

With the discovery of type-II superconductivity by Abrikosov, the prediction of vortex lattices, and their experimental observation, quantized vortices have become a central object of study in superconductivity, superfluidity, and Bose--Einstein condensation. This book presents the mathematics of su...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Sandier, Etienne (Συγγραφέας), Serfaty, Sylvia (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston, MA : Birkhäuser Boston, 2007.
Σειρά:Progress in Nonlinear Differential Equations and Their Applications ; 70
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Physical Presentation of the Model—Critical Fields
  • First Properties of Solutions to the Ginzburg-Landau Equations
  • The Vortex-Balls Construction
  • Coupling the Ball Construction to the Pohozaev Identity and Applications
  • Jacobian Estimate
  • The Obstacle Problem
  • Higher Values of the Applied Field
  • The Intermediate Regime
  • The Case of a Bounded Number of Vortices
  • Branches of Solutions
  • Back to Global Minimization
  • Asymptotics for Solutions
  • A Guide to the Literature
  • Open Problems.