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Simplified Ginzburg-Landau models for superconductivity valid for high kappa and high fields. (English) Zbl 0835.35136

The authors discuss the Ginzburg-Landau model of superconductivity and its application to the case of large \(K\), and type II superconductors. They write down the governing equations of superconductivity in non- dimensional form and expand all variables as power series in inverse powers of \(K\). Particular attention is paid to the one-dimensional and two-dimensional cases. A variational functional is given from which governing equations may be derived, and convergence conditions for approximating series are discussed. Some results of computations are discussed.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
82D55 Statistical mechanics of superconductors
78A30 Electro- and magnetostatics
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