Chapman, S. J. and Du, Qiang and Gunzburger, Max D (1995) On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors. SIAM Journal on Applied Mathematics, 55 (1). pp. 156174. ISSN 1095712X

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Abstract
The authors consider two models, the LawrenceDoniach and the anisotropic GinzburgLandau models for layered superconductors such as the recently discovered hightemperature superconductors. A mathematical description of both models is given and existence results for their solution are derived. The authors then relate the two models in the sense that they show that as the layer spacing tends to zero, the LawrenceDoniach model reduces to the anisotropic Ginzburg Landau model. Finally, simplified versions of the models are derived that can be used to accurately simulate hightemperature superconductors.
Item Type:  Article 

Uncontrolled Keywords:  superconductivity, LawrenceDoniach model, GinzburgLandau equations, layered superconductors 
Subjects:  O  Z > Partial differential equations O  Z > Optics, electromagnetic theory 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  597 
Deposited By:  Jon Chapman 
Deposited On:  22 May 2007 
Last Modified:  29 May 2015 18:25 
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