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 $\epsilon=0$.
Citation
Jishan Fan. Bessem Samet. Yong Zhou. "Uniform well-posedness for a time-dependent Ginzburg-Landau model in superconductivity." Osaka J. Math. 56 (2) 269 - 276, April 2019.