Item description for Ginzburg-Landau Phase Transition Theory and Superconductivity (International Series of Numerical Mathematics) by K.-H. Hoffmann...
The theory of complex Ginzburg-Landau type phase transition and its applications to superconductivity and superfluidity has been a topic of great interest to theoretical physicists and has been continously and persistently studied since the 1950s. In this monograph, we collect, rearrange and refine recent research results in the complex G-L theory with or without immediate applications to the theory of superconductivity. The purpose is to present as many mathematically sound results as possible on various aspects of the PDE system, including rigorous mathematical analysis, formal asymptotics as well as numerical analysis. The book starts with some physical background material and discussions on the modelling and theoretical studies of physicists that invite further mathematical research. We then treat the mathematical scaling in a systematic way and analyze the implications on various limit problems. After addressing the mathematical foundation and formal asymptotic analysis of vortex motion we move on to rigorous results on existence, regularity and long-time behavior of solutions, as well as the vortex location and law of motion. Furthermore, we look at various ways of deriving lower-dimensional models from higher-dimensional ones and study rigorous results for the pinning of vortices. The book is meant to provide an authoritative reference for applied mathematicians, theoretical physicists and engineers interested in the quantitative description of superconductivity using Ginzburg-Landau theory.
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Est. Packaging Dimensions: Length: 9.1" Width: 6.4" Height: 1.1" Weight: 1.5 lbs.
Release Date Jan 25, 2001
Publisher Birkhäuser Basel
ISBN 3764364866 ISBN13 9783764364861
Availability 129 units. Availability accurate as of Mar 26, 2017 07:25.
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