
doi: 10.1137/1034114
Summary: This paper reviews the derivation of some macroscopic models for superconductivity and also some of the mathematical challenges posed by these models. The paper begins by exploring certain analogies between phase changes in superconductors and those in soldification and melting. However, it is soon found that there are severe limitations on the range of validity of these analogies and outside this range many interesting open questions can be posed about the solutions to the macroscopic models.
soldification, melting, Electromagnetic effects in solid mechanics, Ginzburg-Landau equations, phase changes, Statistical mechanics of superconductors
soldification, melting, Electromagnetic effects in solid mechanics, Ginzburg-Landau equations, phase changes, Statistical mechanics of superconductors
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