The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase
Abstract
We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that HC1 H HC2, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.
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