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On a non‐stationary Ginzburg–Landau superconductivity model
Author(s) -
Chen Zhiming,
Hoffmann K.H.,
Liang Jin
Publication year - 1993
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/mma.1670161203
Subject(s) - mathematics , superconductivity , equivalence (formal languages) , curl (programming language) , gauge theory , boundary value problem , gauge (firearms) , mathematical physics , mathematical analysis , pure mathematics , physics , quantum mechanics , computer science , archaeology , history , programming language
In this paper, we study a non‐stationary superconductivity model derived from Ginzburg–Landau macroscopic theory. By using gauge invariance and studying a linear problem with curl boundary conditions, we obtain the existence of solutions. The solution is unique in the sense of gauge equivalence.