Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model - Couverture rigide

Pacard, Frank; Riviere, Tristan

Couverture rigide

ISBN 10 : 0817641335 ISBN 13 : 9780817641337

Editeur : Birkhauser Boston, 2000

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.

Détails de l'édition

• Éditeur: Birkhauser Boston
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0817641335
• ISBN 13: 9780817641337
• Reliure: Relié
• Nombre de pages: 352
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne