Skip to main content
Article
Fiber BundleDescription of Flow and Nonlinear Hydrodynamics on Circles
Journal of Nonlinear Mathematical Physics (2008)
  • Andrei Ludu, Embry Riddle Aeronautical University
Abstract
We introduce a di®erential 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 °ow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.
Keywords
  • hydrodynamics,
  • fibre bundle,
  • Lagrangian,
  • Eulerian,
  • fluids
Publication Date
Summer 2008
Citation Information
Andrei Ludu. "Fiber BundleDescription of Flow and Nonlinear Hydrodynamics on Circles" Journal of Nonlinear Mathematical Physics Vol. 15 (2008)
Available at: http://works.bepress.com/andrei_ludu/1/