Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on CirclesJournal of Nonlinear Mathematical Physics (2008)
We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.
- fibre bundle,
Citation InformationAndrei Ludu. "Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles" Journal of Nonlinear Mathematical Physics Vol. 15 Iss. Suppl. 2 (2008) p. 157 - 170 ISSN: 1402-9251
Available at: http://works.bepress.com/andrei_ludu/1/