Estimate of the upper critical field and concentration for superconductor (Q1884125)

In the present study the authors address the question how the functional parameter (inhomogeneity) will modify the properties of a superconductor in the presence of an applied magnetic field. The authors obtain rigorously estimates for the upper critical field and the location of nucleation for a cylinder which is placed in an applied magnetic field. They found a new phenomenon that if the applied field reduced to upper critical field, the nucleation of superconductivity may occur in the interior of the domain.