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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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Linear and nonlinear aspects of vortices. The Ginzburg-Landau model.
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Boston, Birkhäuser, 2000
ISBN 10 : 0817641335
ISBN 13 : 9780817641337
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Linear and Nonlinear Aspects of Vortices
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Linear and Nonlinear Aspects of Vortices
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Linear and Nonlinear Aspects of Vortices
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Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications)
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Birkhaser, 2000
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ISBN 13 : 9780817641337
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LINEAR AND NONLINEAR ASPECTS OF VORTICES:
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Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progress in Nonlinear Differential Equations and Their Applications, Volume 39)
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Birkhauser, 2000
ISBN 10 : 0817641335
ISBN 13 : 9780817641337
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LINEAR AND NONLINEAR ASPECTS OF VORTICES:
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Linear And Non Linear Aspects Of Vortices
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Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model (Progress in Nonlinear Differential Equations and Their Applications, 39)
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