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