Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents

Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1

For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the pu…