Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model: 39 (Progress in Nonlinear Differential Equations and Their Applications, 39) - Image 1

£72.77

Birkhauser Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model: 39 (Progress in Nonlinear Differential Equations and Their Applications, 39)

Name: Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model: 39 (Progress in Nonlinear Differential Equations and Their Applications, 39)
Brand: Birkhauser
Price: 72.77 GBP
Availability: InStock

Differential Equations

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Description

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.

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 1461271258
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Publication Date: 28 October 2012
Listed Since: 03 March 2013

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Birkhauser Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model: 39 (Progress in Nonlinear Differential Equations and Their Applications, 39)

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