Thin Plate/Film G-L Models

  • Karl-Heinz Hoffmann
  • Qi Tang
Part of the International Series of Numerical Mathematics book series (ISNM, volume 134)


In this chapter, we take a flat thin 3-d plate/film lying in the xy-plane and let the thickness (in the z-direction) of the plate/film tend to zero. Theoretically, the limit would yield the G-L superconductivity model for an ideal 2-d plate/film. Naturally, it is very interesting to see if this 2-d plate/film model has anything to do with the 2-d G-L system. The conclusion is, it depends on which 3-d model we start from.


Applied Field Applied Magnetic Field Lead Order Term Local Chart Maxwell System 
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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

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

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