Chapman, S. J.; Howison, S. D.; Ockendon, J. R. Macroscopic models for superconductivity. (English) Zbl 0769.73068 SIAM Rev. 34, No. 4, 529-560 (1992). 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. Cited in 74 Documents MSC: 74F15 Electromagnetic effects in solid mechanics 82D55 Statistical mechanics of superconductors Keywords:Ginzburg-Landau equations; phase changes; soldification; melting PDFBibTeX XMLCite \textit{S. J. Chapman} et al., SIAM Rev. 34, No. 4, 529--560 (1992; Zbl 0769.73068) Full Text: DOI Link