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

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Abstract

In this Chapter, we establish the existence, uniqueness and asymptotic behaviour of the solutions of a non-stationary G-L superconductivity model. We look at the case when the applied magnetic field is a given function. We know now that this is mainly a 2-d case when related to superconductivity. However, we also include the 3-d case to highlight some mathematical difficulties in dealing with the 3-d problem.

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© 2001 Springer Basel AG

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Hoffmann, KH., Tang, Q. (2001). Evolutionary Solutions. 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_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8274-3_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9499-9

  • Online ISBN: 978-3-0348-8274-3

  • eBook Packages: Springer Book Archive

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