Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 17, pp. 1-6.

Title: Existence and uniqueness for a Ginzburg-Landau system for superconductivity

Authors: Jishan Fan (Nanjing Forestry Univ., Nanjing, China)
         Yong Zhou (Sun Yat-sen Univ., Zhuhai, Guangdong, China)

Abstract:
 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-$\epsilon$ well-posedness of the solution,
 where $\epsilon$ 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.