Ya. Genenko, RELAXATION OF MAGNETIC VORTEX RINGS IN A SUPERCONDUCTING CYLINDER - SOME UNIVERSAL FEATURES, Physica. C, Superconductivity, 215(3-4), 1993, pp. 343-349
In the London approximation an exact solution for a magnetic vortex ri
ng in a long superconducting cylinder of arbitrary thickness is found.
The nonlinear equation of motion of the contracting vortex ring is so
lved exactly with regard to viscosity and inertial vortex mass. The so
lution of this equation exhibits some universal qualities of vortex ri
ng motion.