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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Sandier, Etienne (Author), Serfaty, Sylvia (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Progress in Nonlinear Differential Equations and Their Applications, 70
Subjects:
Differential equations.
Mathematical physics.
Functions of complex variables.
Differential Equations.
Theoretical, Mathematical and Computational Physics.
Functions of a Complex Variable.
Online Access:Texto Completo
Table of Contents:
  • 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.

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