Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications)

Frank Pacard , Tristan Riviere

ISBN 10: 0817641335 / ISBN 13: 9780817641337

Edité par Birkhaser, 2000

A propos de cet article

First edition, first printing, 342 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Détails bibliographiques

• Titre: Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications)
• Éditeur: Birkhaser
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0817641335
• ISBN à 13 chiffres: 9780817641337
• Reliure: Couverture rigide
• État de l'article: Fine

A propos de ce titre

Synopsis

Equations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question.

The authors begin with a general presentation of the theory and then proceed to study problems using weighted Hölder spaces and Sobolev Spaces. These are particularly powerful tools and help us obtain a deeper understanding of the nonlinear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions.

Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful in a number of contexts in the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and will serve as an excellent classroom text or a valuable self-study resource.