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Quasi-static solutions for quantum vortex motion under the localized induction approximation
2003
Journal of Fluid Mechanics
The motion of a quantum vortex is considered in the context of the localized induction approximation (LIA). In this context, the instantaneous vortex velocity is proportional to the local curvature and is parallel to the vector which is a linear combination of the local binormal and the principal normal to the vortex line. This implies that the quantum vortex shrinks, which is in contrast to the classical vortex in an ideal fluid. The present work deals with a four-parameter class of static
doi:10.1017/s0022112002003282
fatcat:eosi3cmxl5cr5m5scqxk5sy7xi