Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid

dc.authorid0000-0001-8590-3396
dc.authorid0000-0001-8590-3396en_US
dc.contributor.authorBakırtaş, İlkayen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:05:07Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:05:07Z
dc.date.issued2002
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionWessex Institute of Technologyen_US
dc.description.abstractIn the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid and then utilizing the reductive perturbation technique, the amplitude modulation of weakly nonlinear waves is examined. It is shown that, the amplitude modulation of these waves is governed by a nonlinear Schrödinger (NLS) equation. The result is compared with some previous works on the same subject. The modulational instability of the monochromatic wave solution is discussed for some elastic materials and initial deformations. It is shown that the amplitude modulation of weakly nonlinear waves near the marginal state is governed by the Generalized Nonlinear Schrödinger equation (GNLS).en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBakırtaş, İ., Demiray, H., (2002). Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid. Paper presented at the Advances in Fluid Mechanics, 32, 695-703.en_US
dc.identifier.endpage703
dc.identifier.isbn1853129100
dc.identifier.issn1353-808Xen_US
dc.identifier.startpage695
dc.identifier.urihttps://hdl.handle.net/11729/2057
dc.identifier.volume32
dc.identifier.wosWOS:000177065000064en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWit Pressen_US
dc.relation.ispartofAdvances in Fluid Mechanicsen_US
dc.relation.ispartofseriesAdvances In Fluid Mechanics Seriesen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectApproximation theoryen_US
dc.subjectDeformationen_US
dc.subjectElastic materialsen_US
dc.subjectElasticityen_US
dc.subjectIncompressible flowen_US
dc.subjectInviscid fluidsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPressureen_US
dc.subjectProblem solvingen_US
dc.subjectPropagationen_US
dc.subjectSchrodinger-equationen_US
dc.subjectSolitary wavesen_US
dc.subjectSolitonsen_US
dc.subjectTubes (components)en_US
dc.subjectWater wavesen_US
dc.titleNonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluiden_US
dc.typeConference Objecten_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
Nonlinear_wave_modulation_in_a_prestressed_thin_elastic_tube_filled_with_an_inviscid_fluid.pdf
Boyut:
356.35 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version