Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

4-4-2008

Abstract/Description

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.

Publication Title

Journal of Nonlinear Mathematical Physics

DOI

https://doi.org/10.2991/jnmp.2008.15.s2.11

Publisher

Springer

Grant or Award Name

NSU’s Enrichment Fund Grant Program NEF, Agreement PD 07-08 R1-005

Additional Information

Dr. Andrei Ludu was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.

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