Osaka Journal of Mathematics

Uniform well-posedness for a time-dependent Ginzburg-Landau model in superconductivity

Jishan Fan, Bessem Samet, and Yong Zhou

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Abstract

We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion coefficient 0 < $\epsilon$ < 1 in the case of Coulomb gauge. Our second result is the global existence and uniqueness of the weak solutions to the limit problem when $\epsilon=0$.

Article information

Source
Osaka J. Math., Volume 56, Number 2 (2019), 269-276.

Dates
First available in Project Euclid: 3 April 2019

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1554278424

Mathematical Reviews number (MathSciNet)
MR3934975

Zentralblatt MATH identifier
07080084

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics 35K55: Nonlinear parabolic equations

Citation

Fan, Jishan; Samet, Bessem; Zhou, Yong. Uniform well-posedness for a time-dependent Ginzburg-Landau model in superconductivity. Osaka J. Math. 56 (2019), no. 2, 269--276. https://projecteuclid.org/euclid.ojm/1554278424


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