The distribution of superconductivity near a magnetic barrier
classification
🧮 math.AP
keywords
magneticalongdiscontinuityfieldginzburg-landausmoothappliedbarrier
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We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In the regime of large Ginzburg-Landau parameter and strong magnetic field, we study the concentration of minimizing configurations along this discontinuity.
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