Jishan Fan, Yong Zhou
We prove the existence of a unique solution for a time-dependent Ginzburg-Landau model in superconductivity under the Coulomb gauge. Also we prove the uniform-in- well-posedness of the solution, where is the coefficient of the double-well potential energy.
Submitted December 6, 2019. Published February 11, 2020.
Math Subject Classifications: 35Q35, 35K55.
Key Words: Ginzburg-Landau model; superconductivity; Coulomb gauge.
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| Jishan Fan |
Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
| Yong Zhou |
School of Mathematics (Zhuhai)
Sun Yat-sen University
Zhuhai, Guangdong 519082, China
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