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Ginzburg-Landau Phase Transition Theory and Superconductivity : International Series of Numerical Mathematics - Karl Heinz Hoffmann

Ginzburg-Landau Phase Transition Theory and Superconductivity

International Series of Numerical Mathematics

Hardcover Published: 1st December 2000
ISBN: 9783764364861
Number Of Pages: 384

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The theory of complex Ginzburg-Landau type phase transition and its applica- tions to superconductivity and superfluidity has been a topic of great interest to theoretical physicists and has been continuously and persistently studied since the 1950s. Today, there is an abundance of mathematical results spread over numer- ous scientific journals. However, before 1992, most of the studies concentrated on formal asymptotics or linear analysis. Only isolated results by Berger, Jaffe and Taubes and some of their colleagues touched the nonlinear aspects in great detail. In 1991, a physics seminar given by Ed Copeland at Sussex University inspired Q. Tang, the co-author of this monograph, to study the subject. Independently in Munich, K.-H. Hoffmann and his collaborators Z. Chen and J. Liang started to work on the topic at the same time. Soon it became clear that at that time, groups of mathematicians at Oxford and Virginia Tech had already studied the subject for a couple of years. They inspired experts in interface phase transition problems and their combined effort established a rigorous mathematical framework for the Ginzburg-Landau system. At the beginning Q. Tang collaborated with C.M. Elliott and H. Matano.

Preface
Introduction
Mathematical Foundation
Asymptotics Involving Magnetic Potential
Steady State Solutions
Evolutionary Solutions
Complex G-L Type Phase Transition Theory
The Slow Motion of Vortices
Thin Plate/Film G-L Models
Pinning Theory
Numerical Analysis
References
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764364861
ISBN-10: 3764364866
Series: International Series of Numerical Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 1st December 2000
Publisher: SPRINGER VERLAG GMBH
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 2.39
Weight (kg): 0.74