MODELS OF SUPERCONDUCTING-NORMAL-SUPERCONDUCTING JUNCTIONS

A time-dependent Ginzburg-Landau-type model of a superconducting-norma l-superconducting junction is presented. The existence and the uniquen ess of the solutions are proved. When the data of the model are symmet ric of some kinds, the solutions turns out to be symmetric of some kin ds. In this symmetric case, an approximate model with the small thickn ess of the normal material in the middle of the junction as coefficien ts of a differential system is established for the sake of numerical c omputations. And also the existence and the uniqueness of the solution to this approximate model are set up. (C) 1998 by B. G. Teubner Stutt gart-John Wiley & Sons Ltd.