Chapman, S. J.; Du, Q.; Gunzburger, M. D.; Peterson, J. S. Simplified Ginzburg-Landau models for superconductivity valid for high kappa and high fields. (English) Zbl 0835.35136 Adv. Math. Sci. Appl. 5, No. 1, 193-218 (1995). 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. Reviewer: Ll.G.Chambers (Bangor) Cited in 8 Documents MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 82D55 Statistical mechanics of superconductors 78A30 Electro- and magnetostatics Keywords:Ginzburg-Landau model of superconductivity; governing equations of superconductivity; variational functional; approximating series; computations PDFBibTeX XMLCite \textit{S. J. Chapman} et al., Adv. Math. Sci. Appl. 5, No. 1, 193--218 (1995; Zbl 0835.35136)