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Models of superconducting–normal–superconducting junctions
Author(s) -
Hoffmann K. H.,
Jiang Lishang,
Yu Wanghui,
Zhu Ning
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980110)21:1<59::aid-mma933>3.0.co;2-a
Subject(s) - uniqueness , superconductivity , mathematics , computation , mathematical analysis , differential equation , condensed matter physics , physics , algorithm
A time‐dependent Ginzburg–Landau‐type model of a superconducting–normal–superconducting junction is presented. The existence and the uniqueness of the solutions are proved. When the data of the model are symmetric of some kinds, the solutions turns out to be symmetric of some kinds. In this symmetric case, an approximate model with the small thickness of the normal material in the middle of the junction as coefficients of a differential system is established for the sake of numerical computations. And also the existence and the uniqueness of the solution to this approximate model are set up. © 1998 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.