Abstract
We first prove the uniqueness of weak solutions to the 3-D Ginzburg-Landau system in superconductivity with the temporal gauge if
, which is a critical space for some positive constant
. We also prove the global existence of solutions for the Ginzburg-Landau system with magnetic diffusivity
or
. Finally, we prove the uniform bounds with respect to
of strong solutions in space dimensions
. Consequently, the existence of the limit as
can be established.
Notes
No potential conflict of interest was reported by the authors.