Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction -- Forced extended KdV equation

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dc.contributorVirginia Techen
dc.contributor.authorChoi, J. W.en
dc.contributor.authorSun, S. M.en
dc.contributor.authorShen, M. C.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:14Zen
dc.date.available2014-04-24T18:34:14Zen
dc.date.issued1996-02en
dc.description.abstractIn this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation, called a forced extended KdV equation (FEKdV) governing interfacial wave forms, is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented. (C) 1996 American Institute of Physics.en
dc.description.sponsorshipNational Science Foundation, USA, Grant No. CMS 8903083en
dc.description.sponsorshipKorean Science and Engineering Foundation Grant No. KOSEF 951-0101-033-2en
dc.identifier.citationChoi, J. W.; Sun, S. M.; Shen, M. C., "Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction -- Forced extended KdV equation," Phys. Fluids 8, 397 (1996); http://dx.doi.org/10.1063/1.868793en
dc.identifier.doihttps://doi.org/10.1063/1.868793en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47633en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/8/2/10.1063/1.868793en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject2-layer flowsen
dc.subjectbumpen
dc.titleInternal capillary-gravity waves of a two-layer fluid with free surface over an obstruction -- Forced extended KdV equationen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden

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