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Linear and Nonlinear Aspects of Vortices - The Ginzburg-andau Model (Hardcover, 2000 ed.) Loot Price: R2,837
Discovery Miles 28 370
Linear and Nonlinear Aspects of Vortices - The Ginzburg-andau Model (Hardcover, 2000 ed.): Frank Pacard, Tristan Riviere

Linear and Nonlinear Aspects of Vortices - The Ginzburg-andau Model (Hardcover, 2000 ed.)

Frank Pacard, Tristan Riviere

Series: Progress in Nonlinear Differential Equations and Their Applications, 39

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Loot Price R2,837 Discovery Miles 28 370 | Repayment Terms: R266 pm x 12*

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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 Holder 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."

General

Imprint: Birkhauser Boston
Country of origin: United States
Series: Progress in Nonlinear Differential Equations and Their Applications, 39
Release date: June 2000
First published: 2000
Authors: Frank Pacard • Tristan Riviere
Dimensions: 235 x 155 x 20mm (L x W x T)
Format: Hardcover
Pages: 342
Edition: 2000 ed.
ISBN-13: 978-0-8176-4133-7
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
LSN: 0-8176-4133-5
Barcode: 9780817641337

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