Title
Fiber bundle description of flow and nonlinear hydrodynamics on circles Fiber bundle description of flow and nonlinear hydrodynamics on circles
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
,
Subject
Physics
Source (journal)
Journal of nonlinear mathematical physics. - Place of publication unknown
Volume/pages
15(2008) , p. 157-170
ISSN
1402-9251
ISI
000263517200012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/3b1ba9/1836.pdf
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263517200012&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263517200012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle