On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
dc.authorid | 0000-0001-8590-3396 | |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:07Z | |
dc.date.available | 2015-01-15T23:00:07Z | |
dc.date.issued | 2004-09 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description | This work was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Demiray, H. (2004). On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions. International Journal of Engineering Science, 42(15-16), 1693-1706. doi:10.1016/j.ijengsci.2004.02.003 | en_US |
dc.identifier.doi | 10.1016/j.ijengsci.2004.02.003 | |
dc.identifier.endpage | 1706 | |
dc.identifier.issn | 0020-7225 | |
dc.identifier.issn | 1879-2197 | |
dc.identifier.issue | 15-16 | |
dc.identifier.scopus | 2-s2.0-4344700375 | |
dc.identifier.scopusquality | Q1 | |
dc.identifier.startpage | 1693 | |
dc.identifier.uri | https://hdl.handle.net/11729/150 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.ijengsci.2004.02.003 | |
dc.identifier.volume | 42 | |
dc.identifier.wos | WOS:000223984600009 | |
dc.identifier.wosquality | Q1 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Demiray, Hilmi | en_US |
dc.institutionauthorid | 0000-0001-8590-3396 | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd. | en_US |
dc.relation.ispartof | International Journal of Engineering Science | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Shock waves | en_US |
dc.subject | Propagation | en_US |
dc.subject | Pressure | en_US |
dc.subject | Arteries | en_US |
dc.subject | Prestressed elastic tubes | en_US |
dc.subject | KdV equation | en_US |
dc.subject | Modified KdV equations | en_US |
dc.subject | Crack propagation | en_US |
dc.subject | Deformation | en_US |
dc.subject | Dispersions | en_US |
dc.subject | Heat convection | en_US |
dc.subject | Incompressible flow | en_US |
dc.subject | Kinematics | en_US |
dc.subject | Linear equations | en_US |
dc.subject | Mathematical models | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | KdV equations | en_US |
dc.subject | Elasticity testing | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.title | On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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