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arxiv: 1511.08562 · v1 · pith:SFLFITREnew · submitted 2015-11-27 · 🧮 math.AP

The influence of magnetic steps on bulk superconductivity

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keywords ginzburg-landaumagneticappliedbulkfieldparametersuperconductivitycomparable
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We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the two-dimensional Ginzburg-Landau functional with a large Ginzburg-Landau parameter and with an applied magnetic field of intensity comparable with the Ginzburg-Landau parameter.

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