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Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity

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Rodríguez Bernal, Aníbal and Wang, Bixiang (2000) Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 130 (6). pp. 1383-1404. ISSN 0308-2105

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Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1196076




Abstract

The Cauchy problem for the time-dependent Ginzburg-Landau equations of superconductivity in R-d (d = 2, 3) is investigated in this paper. When d = 2, we show that the Cauchy problem for this model is well posed in L-2. When d = 3, we establish the existence result of solutions for L-3 initial data and the uniqueness result for L-4 initial data.


Item Type:Article
Uncontrolled Keywords:Ginzburg-Landau equations; Superconductivity; Existence; Uniqueness; Weak-kappa-limit
Subjects:Sciences > Mathematics > Functions
ID Code:19983
Deposited On:15 Feb 2013 17:35
Last Modified:12 Dec 2018 15:07

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