Cauchy problem for the time-dependent Ginzburg–Landau model of superconductivity
Published online by Cambridge University Press: 11 July 2007
Abstract
The Cauchy problem for the time-dependent Ginzburg–Landau equations of superconductivity in Rd (d = 2, 3) is investigated in this paper. When d = 2, we show that the Cauchy problem for this model is well posed in L2. When d = 3, we establish the existence result of solutions for L3 initial data and the uniqueness result for L4 initial data.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1383 - 1404
- Copyright
- Copyright © Royal Society of Edinburgh 2000
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