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Localized induction equation and transport properties for stretched vortex filament. (English) Zbl 1119.53003
Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 201-206 (2007).
Summary: The localized induction equation for the stretched vortex filament is reviewed. The transport of the momentum and the angular momentum carried by the stretching vortex filament is studied. The generalizations of the equation are considered.
MSC:
53A05Surfaces in Euclidean space
53B50Applications of local differential geometry to physics
37K35Lie-Bäcklund and other transformations