Abstract
A problem on a vortex behavior near oscillating pinning centers in the type III superconductors (SCs) is considered. The movement of a vortex filament is described by the parabolic free boundary problem, where an a priori unknown free boundary is the set of points, at which a transition from superconducting to normal state and vice versa occurs. A number of statements on the qualitative properties of a phase boundary superconductor - nonsuperconductor are considered.
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