## Motion of Vortices in Type-II Superconductors

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S. J. Chapman & G. Richardson

The methods of formal asymptotics are used to examine the behaviour of
a system of
curvilinear vortices in a type-II superconductor, as the
thickness of the vortex cores tends to zero.
The vortices then appear as singularities in the field equation,
and are analagous to
line vortices in inviscid hydrodynamics. A local analysis near each vortex
core gives an equation of motion governing the evolution of
these singularities.