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Existence of the solutions for the Ginzburg–Landau equations of superconductivity in three spatial dimensions

Published online by Cambridge University Press:  14 November 2011

Bixiang Wang  and
Ning Su
Bixiang Wang
Affiliation:
Department of Applied Mathematics, Tsinghua University, Beijing 100084, Peoples Republic of China and Department of Mathematics, Brigham Young University, Provo, UT 84602, USA
Ning Su
Affiliation:
Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's, Republic of China
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Abstract

The time-dependent Ginzburg-Landau equations of superconductivity in three spatial dimensions are investigated in this paper. We establish the existence of global weak solutions for this model with any Lp (p ≧ 3) initial data. This work generalizes the results of Wang and Zhan.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 627 - 639
Copyright
Copyright © Royal Society of Edinburgh 1999

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