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.
For the entire collection see [Zbl 1108.53003].


53A05 Surfaces in Euclidean and related spaces
53B50 Applications of local differential geometry to the sciences
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems