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Fan, Jishan; Ozawa, Tohru

Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity. (English) Zbl 1404.35425

Taiwanese J. Math. 22, No. 4, 851-858 (2018).
Summary: We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

Cited in 10 Documents

MSC:

35Q56 Ginzburg-Landau equations
35K55 Nonlinear parabolic equations
82D55 Statistical mechanics of superconductors
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness

Keywords:

Ginzburg-Landau model; superconductivity; Lorentz gauge
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\textit{J. Fan} and \textit{T. Ozawa}, Taiwanese J. Math. 22, No. 4, 851--858 (2018; Zbl 1404.35425)
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