Reconnection of vortex with the boundary and finite time quenching

Frank Merle, Hatem Zaag · Nonlinearity · 1997

We construct a stable solution of the problem of vortex reconnection with the boundary in a superconductor under the planar approximation. That is a solution of such that as . We give a precise description of the vortex near the reconnection point and time. We generalize the result to other quenching problems.

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