Blow-Up Instability in the Mixed State in Type II Superconductors

The spatial and temporal evolution of small perturbations of the temperature and electromagnetic field for the simplest geometry, i.e., in a superconducting slab placed in a parallel magnetic field is considered. The obtained solution solution describes an blow-up-type instability in the superconductor sample. It remains localized within the limited area x < L * / 2 with increasing infinitively of time.

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