Linear and Nonlinear Aspects of Vortices : The Ginzburg-andau Model
Language: English
Published by Birkhäuser, 2000
Series: Book 9 of 53 - Progress in Nonlinear Differential Equations and Their Applications
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 107.65
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Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9780817641337
- Title
- Linear and Nonlinear Aspects of Vortices : The Ginzburg-andau Model
- Author
- Tristan Riviere
- Publisher
- Birkhäuser
- Publication year
- 2000
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0817641335
- ISBN 13
- 9780817641337
- Item weight
- 648 grams
- Dimensions
- 241x160x24 mm
- Series
- Book 9 of 53: Progress in Nonlinear Differential Equations and Their Applications
Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful for the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and serves as an excellent classroom text or a valuable self-study resource.
"Synopsis" may belong to another edition of this title.
Review
"In the course of their argument, the authors traverse a broad range of nontrivial analysis: elliptic equations on weighted Holder and Sobolev spaces, radially symmetric solutions, gluing techniques, Pokhozhaev-type arguments for solutions of semilinear elliptic equations, and more. Clearly aimed at a research audience, this book provides a fascinating and original account of the theory of Ginzburg-Landau vortices."
--Mathematical Reviews
"About the title" may belong to another edition of this title.
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