Abstract
This paper reports on recent mathematical work [19, 20, 21] which aims at describing minimizers of the Ginzburg-Landau functional in the presence of an applied magnetic field in terms of vortices. For some part these results were already known to be true by physicists and applied mathematicians, but were only recently rigourously proved. Also the mathematical approach has made the knowledge more accurate, and has clarified the validity regime of certain formal calculations.
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Sandier, E., Serfaty, S. (2002). Vortex Analysis in the Ginzburg-Landau Model of Superconductivity. In: Berestycki, H., Pomeau, Y. (eds) Nonlinear PDE’s in Condensed Matter and Reactive Flows. NATO Science Series, vol 569. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0307-0_24
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DOI: https://doi.org/10.1007/978-94-010-0307-0_24
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