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portada Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model
Type
Physical Book
Author
Publisher
Language
English
Pages
342
Format
Paperback
Dimensions
23.4 x 15.6 x 1.9 cm
Weight
0.50 kg.
ISBN13
9781461271253
Categories

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

Frank Pacard (Author) · Tristan Riviere (Author) · Birkhauser · Paperback

Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model - Pacard, Frank ; Riviere, Tristan

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Synopsis "Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model"

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.

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