Téléchargez le livre : Ginzburg-Landau Vortices

Ginzburg-Landau Vortices

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Éditeur :

Birkhäuser


Collection :

Modern Birkhäuser Classics

Paru le : 2017-09-21

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Description

This book is concerned with the study in two dimensions of stationary solutions of u? of a complex valued Ginzburg-Landau equation involving a small parameter ?. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ? has a dimension of a length which is usually small.  Thus, it is of great interest to study the asymptotics as ? tends to zero.
One of the main results asserts that the limit u-star of minimizers u? exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized.
The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis,partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.
Pages
159 pages
Collection
Modern Birkhäuser Classics
Parution
2017-09-21
Marque
Birkhäuser
EAN papier
9783319666723
EAN PDF
9783319666730
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
15
Taille du fichier
17725 Ko
Prix
73,84 €

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