Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness
Year: 1997
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 174–192
Abstract
This paper is concerned with the minimization problem related to the superconducting thin films having variable thickness. The asymptotic behavior of the minimizers is discussed. The singularities are found to be located at the thinnest positions of the film and the vortices of u_ε are proved to be pinned near these regions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JPDE-5591
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 174–192
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Superconductivity