Magnetic instability due to flux avalanches in superconductors

We have studied theoretically the space-time evolution of the thermal and electromagnetic perturbation in a superconductor with the linear current-voltage characteristic in the flux flow regime. On the basis of a linear analysis of a set of differential equations describing small perturbations of temperature and magnetic field we will found that under some conditions an instability may occur in the sample, which takes into account an inertial properties of the vortices mas