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Volume 10, Issue 2
Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness

Shijin Ding & Zuhan Liu

J. Part. Diff. Eq., 10 (1997), pp. 174-192.

Published online: 1997-10

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  • 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.
  • Keywords

Superconductivity vortices asymptotic behavior pinning mechanism

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@Article{JPDE-10-174, author = {Shijin Ding and Zuhan Liu }, title = {Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5591.html} }
TY - JOUR T1 - Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness AU - Shijin Ding & Zuhan Liu JO - Journal of Partial Differential Equations VL - 2 SP - 174 EP - 192 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5591.html KW - Superconductivity KW - vortices KW - asymptotic behavior KW - pinning mechanism AB - 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.
Shijin Ding and Zuhan Liu . (1997). Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness. Journal of Partial Differential Equations. 10 (2). 174-192. doi:
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