Ginzburg-Landau Phase Transition Theory and Superconductivity

  • Karl-Heinz Hoffmann
  • Qi Tang

Part of the International Series of Numerical Mathematics book series (ISNM, volume 134)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Karl-Heinz Hoffmann, Qi Tang
    Pages 1-38
  3. Karl-Heinz Hoffmann, Qi Tang
    Pages 39-65
  4. Karl-Heinz Hoffmann, Qi Tang
    Pages 67-85
  5. Karl-Heinz Hoffmann, Qi Tang
    Pages 87-116
  6. Karl-Heinz Hoffmann, Qi Tang
    Pages 117-159
  7. Karl-Heinz Hoffmann, Qi Tang
    Pages 161-219
  8. Karl-Heinz Hoffmann, Qi Tang
    Pages 221-250
  9. Karl-Heinz Hoffmann, Qi Tang
    Pages 251-281
  10. Karl-Heinz Hoffmann, Qi Tang
    Pages 283-325
  11. Karl-Heinz Hoffmann, Qi Tang
    Pages 327-374
  12. Back Matter
    Pages 375-384

About this book


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.


Ingenieurwissenschaften London equation Meissner effect Numerische Analysis Superconductor calculus model modeling numerical analysis partial differential equation theoretische Physik thin film

Authors and affiliations

  • Karl-Heinz Hoffmann
    • 1
  • Qi Tang
    • 2
  1. 1.CaesarBonnGermany
  2. 2.SMSUniversity of SussexBrightonUK

Bibliographic information

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