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Linear And Non Linear Aspects Of Vortices
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Linear And Non Linear Aspects Of Vortices Hardcover - 2000

by Pacard

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Details

  • Title Linear And Non Linear Aspects Of Vortices
  • Author Pacard
  • Binding Hardcover
  • Edition U. S. EDITION
  • Condition New
  • Pages 342
  • Volumes 1
  • Language ENG
  • Publisher SP ARNOLD, Boston
  • Date 2000-06-22
  • Bookseller's Inventory # CB-142-9780817641337-SP A
  • 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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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.

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