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Article
Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles
Journal of Nonlinear Mathematical Physics (2008)
  • Andrei Ludu, Northwestern State University, Louisiana
Abstract
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.
Keywords
  • hydrodynamics,
  • fibre bundle,
  • Lagrangian,
  • Eulerian,
  • fluids
Publication Date
2008
DOI
https://doi.org/10.2991/jnmp.2008.15.s2.11
Citation Information
Andrei 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/