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Item Details
| Title:
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GINZBURG-LANDAU VORTICES
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| By: |
Fabrice Bethuel, Haim Brezis, Frederic Helein |
| Format: |
Paperback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
331966672X |
| ISBN 13: |
9783319666723 |
| Publisher: |
BIRKHAUSER |
| Pub. date: |
20 September, 2017 |
| Edition: |
1st ed. 2017 |
| Series: |
Modern Birkhauser Classics |
| Pages: |
166 |
| Synopsis: |
This book is concerned with the study in two dimensions of stationary solutions of ue of a complex valued Ginzburg-Landau equation involving a small parameter e. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter e has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as e tends to zero. One of the main results asserts that the limit u-star of minimizers ue 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. |
| Illustrations: |
1 Illustrations, black and white; XXX, 166 p. 1 illus. |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser |
| Returns: |
Returnable |
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