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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Главные авторы: Sandier, Etienne, 1967-...., chercheur en mathématiques appliquées, Serfaty, Sylvia, 19..-...., mathématicienne (Автор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Редактирование:1st ed. 2007.
Серии:Progress in Nonlinear Differential Equations and Their Applications 70
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Примечание: L'impression du document génère 326 p.
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Vortices in the magnetic Ginzburg-Landau model, Etienne Sandier, Sylvia Serfaty, 2007, Boston, Birkhäuser, 1 vol. (XII-322 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4316-4
• Vortices in the Magnetic Ginzburg-Landau Model, Texte imprimé, 9780817671518
• Vortices in the magnetic Ginzburg-Landau model, Etienne Sandier, Sylvia Serfaty, 2007, Boston, Birkhäuser, 1 vol. (XII-322 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4316-4
Оглавление:
  • 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.