Stability of nonlinear shock waves in type-II superconductors

Abstract

In this paper, we demonstrate the possibility of the existence of the nonlinear shock wave describing the final stage of the thermomagnetic instability evolution in the resistive state of a superconductor. We also investigate the structure of this wave with the finite amplitude and propagating at a constant velocity. We study the stability of nonlinear shock waves with respect to small thermal and electromagnetic perturbations in hard and composite superconductors. It is shown that only damped perturbations correspond to space-limited solutions.