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Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model
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Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model Hardcover - 2000

by Frank Pacard; Tristan Riviere


From the publisher

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 Hlder 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.

First line

The Ginzburg-Landau functional was introduced by V.L. Ginzburg and L.D. Landau in [27] as a model for superconductivity.

Details

  • Title Linear and Nonlinear Aspects of Vortices: The Ginzburg-Andau Model
  • Author Frank Pacard; Tristan Riviere
  • Binding Hardcover
  • Edition U. S. EDITION
  • Pages 342
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser, Boston
  • Date 2000-06-22
  • ISBN 9780817641337 / 0817641335
  • Weight 1.45 lbs (0.66 kg)
  • Dimensions 9.38 x 6.4 x 0.84 in (23.83 x 16.26 x 2.13 cm)
  • Library of Congress subjects Differential equations, Nonlinear, Vortex-motion
  • Library of Congress Catalog Number 00-36108
  • Dewey Decimal Code 515.355
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Linear and Nonlinear Aspects of Vortices: The Ginzburg-Landau Model (Progre ss in Nonlinear Differential Equations and Their Appl

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LINEAR AND NONLINEAR ASPECTS OF VORTICES - THE GINZBURG-LANDAU MODEL
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