Please use this identifier to cite or link to this item: https://doi.org/10.1006/jdeq.2001.4093
Title: On a problem related to vortex nucleation of superconductivity
Authors: Pan, X.-B. 
Kwek, K.H. 
Keywords: Ginzburg-Landau system
Nucleation
Superconductivity
Superheating field
Vortices
Issue Date: 10-Jun-2002
Citation: Pan, X.-B., Kwek, K.H. (2002-06-10). On a problem related to vortex nucleation of superconductivity. Journal of Differential Equations 182 (1) : 141-168. ScholarBank@NUS Repository. https://doi.org/10.1006/jdeq.2001.4093
Abstract: In this paper we study a singularly perturbed nonlinear partial differential system which arises in the mathematical theory of superheating field of superconductivity. We prove that the maximum points of the magnitude of solutions are located near the minimum point of curvature of domain boundary. This verifies rigorously a result of Chapman obtained by formal analysis regarding the location of the vortex nucleation. We also show that the solutions exhibit boundary layers. © 2002 Elsevier Science (USA).
Source Title: Journal of Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/112990
ISSN: 00220396
DOI: 10.1006/jdeq.2001.4093
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