An equivalence relation for the Ginzburg-Landau equations of superconductivity

  • H. G. Kaper
  • P. Takáč


Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium configurations are obtained as large-time asymptotic limits of solutions of the time-dependent Ginzburg-Landau equations.

Key words. Superconductivity, Ginzburg-Landau equations, gauge invariance, large-time asymptotic behavior. 


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Copyright information

© Birkhäuser Verlag, Basel 1997

Authors and Affiliations

  • H. G. Kaper
    • 1
  • P. Takáč
    • 2
  1. 1.Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA, (e-mail:
  2. 2.Fachbereich Mathematik, Universität Rostock, Universitätsplatz 1, D-18055 Rostock, Germany, (e-mail:

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