Journal of Nonlinear Mathematical Physics

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Volume 15, Issue Supplement 2, August 2008, Pages 157 - 170

Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles

Authors
Andrei Ludu
Corresponding Author
Andrei Ludu
Received 4 April 2008, Revised 6 May 2008, Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.s2.11How to use a DOI?
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 tra jectories.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - Supplement 2
Pages
157 - 170
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s2.11How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Andrei Ludu
PY  - 2008
DA  - 2008/08/01
TI  - Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles
JO  - Journal of Nonlinear Mathematical Physics
SP  - 157
EP  - 170
VL  - 15
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s2.11
DO  - 10.2991/jnmp.2008.15.s2.11
ID  - Ludu2008
ER  -