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Energy and vorticity of the Ginzburg–Landau model with variable magnetic field

Energy and vorticity of the Ginzburg–Landau model with variable magnetic field

We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. The applied magnetic field varies smoothly and is allowed to vanish non-degenerately along a curve. Assuming that the strength of the applied magnetic field varies between two characteristic scales, and the …