Bibliographic Information

Ginzburg-Landau vortices

edited by Haïm Brezis, Tatstien Li

(Series in Contemporary applied mathematics CAM, 5)

Higher Education Press , World Scientific Pub., c2005

Available at  / 19 libraries

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Includes bibliographical references

Description and Table of Contents

Description

The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.

Table of Contents

  • Bifurcation Problems for GinzburgLandau Equations and Applications to Bose Einstein Condensates (A Aftalion)
  • Vortex Analysis of the GinzburgLandau Model of Superconductivity (E Sandier)
  • On Singular Perturbation Problems Involving a Circular-Well Potential (I Shafrir)
  • Existence Results on GinzburgLandau Equations (F Zhou)
  • A Survey on GinzburgLandau Vortices of Superconducting Thin Films (S Ding)
  • On the Hydro-Dynamic Limit of GinzburgLandau Wave Vortices (F Lin & P Zhang)
  • Singular Sets of the LandauLifshitz System (X-G Liu)
  • Analysis of GinzburgLandau Models for Type I Superconductivity (F Yi)
  • Ferromagnets and LandauLifshitz Equation (J Zhai).

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