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A theoretical study of small thermal and electromagnetic perturbations intype-II superconductors is studied in the flux creep regime with a power-lawvoltage-current characteristics. The space-time evolution of temperature andelectric field was calculated using the heat diffusion equation, coupled withMaxwell's equations and material law, assuming that heat diffusion is smallthat the magnetic diffusion. An explicit blow-up-like solution is obtained,which describes the time and space evolution of the electromagnetic field andtemperature due to flux jump instabilities.

Blow-up instability in the vortex sate of type II superconductors