Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation

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dc.authorid0000-0002-7280-1363
dc.authorid0000-0001-8590-3396
dc.contributor.authorTay, Kim Gaiken_US
dc.contributor.authorDemiray, Hilmien_US
dc.contributor.authorTiong, Ong Cheeen_US
dc.date.accessioned2020-03-16T07:23:12Z
dc.date.available2020-03-16T07:23:12Z
dc.date.issued2008
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the propagation of weakly nonlinear waves in such a composite medium, in the long wave approximation, by use of the reductive perturbation method. By introducing a set of stretched coordinates suitable for the boundary value type of problems and expanding the field variables into asymptotic series of the smallness parameter of nonlinearity and dispersion, we obtained a set of nonlinear differential equations governing the terms at various order. By solving these nonlinear differential equations, we obtained the forced perturbed Korteweg-de Vries equation with variable coefficient as the nonlinear evolution equation. By use of the coordinate transformation, it is shown that this type of nonlinear evolution equation admits a progressive wave solution with variable wave speed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationGaik, T. K., Demiray, H. & Tiong, O. C. (2008). Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation. Springer, 12(), 157-163. doi:10.1007/978-1-4020-9100-1_16en_US
dc.identifier.doi10.1007/978-1-4020-9100-1_16
dc.identifier.endpage163
dc.identifier.isbn9781402090912
dc.identifier.issn0930-8989
dc.identifier.issn1867-4941
dc.identifier.scopus2-s2.0-85032883219
dc.identifier.scopusqualityN/A
dc.identifier.startpage157
dc.identifier.urihttps://hdl.handle.net/11729/2281
dc.identifier.urihttp://dx.doi.org/10.1007/978-1-4020-9100-1_16
dc.identifier.volume126
dc.identifier.wosWOS:000261333400016
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringer Science and Business Media, LLCen_US
dc.relation.ispartofSpringer Proceedings in Physicsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectControl nonlinearitiesen_US
dc.subjectCo-ordinate transformationen_US
dc.subjectDifferential equationsen_US
dc.subjectElastic tubesen_US
dc.subjectIncompressible Newtonian fluiden_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectMathematical transformationsen_US
dc.subjectNewtonian liquidsen_US
dc.subjectNonlinear differential equationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear evolution equationen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPerturbed korteweg-de vries equationsen_US
dc.subjectPressureen_US
dc.subjectPrestressed elastic tubeen_US
dc.subjectProgressive wave solutionsen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectSolitary wavesen_US
dc.subjectSolitonsen_US
dc.subjectThin walled structuresen_US
dc.subjectWater wavesen_US
dc.titleNonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equationen_US
dc.typeConference Objecten_US
dspace.entity.typePublication

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