Existence and uniqueness for a Ginzburg-Landau system for superconductivity

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.

Bibliographic Details
Main Authors: Jishan Fan, Yong Zhou
Format: Article
Language:English
Published: Texas State University 2020-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/17/abstr.html