Uniform existence for a 3D time-dependent Ginzburg–Landau model in superconductivity

In this paper, we prove the uniform-in- κ existence for the 3D time-dependent Ginzburg–Landau model (TDGL) in superconductivity in the case of the Coulomb gauge, where κ is the Ginzburg–Landau constant. Consequently, the limit as κ → 0 can be established.