Motion of a Curved Vortex Filament: Higher-Order Asymptotics
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Publisher
Springer Netherlands
Link
http://link.springer.com/content/pdf/10.1007/978-94-015-9638-1_25
Reference8 articles.
1. Da Rios, L. S. 1906 On the motion of an unbounded fluid with a vortex filament of any shape. [in Italian] Rend. Circ. Mat. Palermo 22, 117–135.
2. Dyson, F. W. 1893 The potential of an anchor ring.–part II. Phil. Trans. R. Soc. Lond. A 184, 1041–1106.
3. Fukumoto, Y. and Moffatt, H. K. 1999 Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity. submitted to J. Fluid Mech. Fukumoto, Y. and Miyazaki, T. 1991 Three-dimensional distortions of a vortex filament with axial velocity. J. Fluid Mech. 222, 369–416.
4. Hasimoto, H. 1972 A soliton on a vortex filament. J. Fluid Mech. 51, 477–485.
5. Langer, J. and Perline, R. 1991 Poisson geometry of the filament equation. J. Nonlinear Sci. 1, 71–93.
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