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Title
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Fiber bundle description of flow and nonlinear hydrodynamics on circles
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Journal of nonlinear mathematical physics. - Place of publication unknown
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Publication
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Place of publication unknown
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2008
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ISSN
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1402-9251
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DOI
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10.2991/JNMP.2008.15.S2.11
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Volume/pages
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15
(2008)
, p. 157-170
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ISI
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000263517200012
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Full text (Publisher's DOI)
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Full text (open access)
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