Existence and uniqueness for a Ginzburg-Landau system for superconductivity

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.

Keywords

• ginzburg-landau model
• superconductivity
• coulomb gauge