Ginzburg-Landau Vortices Paperback / softback
by Fabrice Bethuel, Haim Brezis, Frederic Helein
Part of the Modern Birkhauser Classics series
Paperback / softback
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:159 pages, 1 Illustrations, color; 4 Illustrations, black and white; XXIX, 159 p. 5 illus., 1 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:05/10/2017
- Category:
- ISBN:9783319666723
Other Formats
- Paperback / softback from £80.85
- PDF from £50.99
Information
-
Item not Available
- Format:Paperback / softback
- Pages:159 pages, 1 Illustrations, color; 4 Illustrations, black and white; XXIX, 159 p. 5 illus., 1 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:05/10/2017
- Category:
- ISBN:9783319666723
