Ginzburg-Landau Vortices

This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The para...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bethuel, Fabrice (Συγγραφέας), Brezis, Haim (Συγγραφέας), Helein, Frederic (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Σειρά:Modern Birkhäuser Classics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Introduction
  • Energy Estimates for S1-Valued Maps
  • A Lower Bound for the Energy of S1-Valued Maps on Perforated Domains
  • Some Basic Estimates for uɛ
  • Toward Locating the Singularities: Bad Discs and Good Discs
  • An Upper Bound for the Energy of uɛ away from the Singularities
  • uɛ_n: u-star is Born! - u-star Coincides with THE Canonical Harmonic Map having Singularities (aj)
  • The Configuration (aj) Minimizes the Renormalization Energy W
  • Some Additional Properties of uɛ
  • Non-Minimizing Solutions of the Ginzburg-Landau Equation
  • Open Problems.