期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 51, 期 2, 页码 873-912出版社
SIAM PUBLICATIONS
DOI: 10.1137/17M1112285
关键词
current; superconductivity; Ginzburg-Landau
资金
- BSF [2010194]
- NSF [DMS-1405769, DMS-1613471]
In this work, we consider a reduced Ginzburg-Landau model in which the magnetic field is neglected and the magnitude of the current density is significantly stronger than that considered in a recent work by the same authors. We prove the existence of a solution which can be obtained by solving a nonconvex minimization problem away from the boundary of the domain. Near the boundary, we show that this solution is essentially one-dimensional. We also establish some linear stability results for a simplified, one-dimensional version of the original problem.
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