In this paper we study the time-dependent Ginzburg-Landau equations on a smooth, bounded domain Ω ⊂ R2, subject to both an applied magnetic field and an applied boundary current. We model the boundary current by a gauge invariant inhomogeneous Neumann boundary condition. After proving well-posedness of the equations with this boundary condition, we study the evolution of the energy of the solut...

Electromagnetic transport measurements were combined with high-resolution electron microscopy observations to study the relation between structure and local critical currents in YBa2Cu3O7−x (YBCO) Josephson junctions. The spatial variation of the critical current J (x) along the length of the boundary for interface engineered Josephson junctions and bicrystal grain boundary Josephson junctions ...