Abstract
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.
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© 2001 Springer Basel AG
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Hoffmann, KH., Tang, Q. (2001). Thin Plate/Film G-L Models. In: Ginzburg-Landau Phase Transition Theory and Superconductivity. International Series of Numerical Mathematics, vol 134. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8274-3_8
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DOI: https://doi.org/10.1007/978-3-0348-8274-3_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9499-9
Online ISBN: 978-3-0348-8274-3
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