A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity

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dc.authorid0000-0003-1160-9236
dc.authorid0000-0001-6353-9386
dc.authorid0000-0002-5167-609X
dc.contributor.authorDuruk, Nilayen_US
dc.contributor.authorErkip, Alberten_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.date.accessioned2015-01-15T23:01:19Z
dc.date.available2015-01-15T23:01:19Z
dc.date.issued2009-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using locally non-linear theory of 1D non-local elasticity and then we are able to show that under certain conditions the Cauchy problem is globally well-posed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDuruk, N., Erkip, A. & Erbay, H. A. (2009). A higher-order boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 74(1), 97-106. doi:10.1093/imamat/hxn020en_US
dc.identifier.doi10.1093/imamat/hxn020
dc.identifier.endpage106
dc.identifier.issn0272-4960
dc.identifier.issn1464-3634
dc.identifier.issue1
dc.identifier.scopus2-s2.0-59549093536
dc.identifier.scopusqualityQ3
dc.identifier.startpage97
dc.identifier.urihttps://hdl.handle.net/11729/340
dc.identifier.urihttp://dx.doi.org/10.1093/imamat/hxn020
dc.identifier.volume74
dc.identifier.wosWOS:000262720000008
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorErbay, Hüsnü Ataen_US
dc.institutionauthorid0000-0002-5167-609X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherOxford Univ Pressen_US
dc.relation.ispartofIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHigher-order boussinesq equationen_US
dc.subjectNon-local elasticityen_US
dc.subjectCauchy problemen_US
dc.subjectGlobal well-posednessen_US
dc.subjectBoussinesq equationsen_US
dc.subjectGlobal existenceen_US
dc.subjectGlobal solutionen_US
dc.subjectElasticityen_US
dc.subjectProgramming theoryen_US
dc.subjectSurface structureen_US
dc.subjectElastic modelsen_US
dc.subjectNon-linear theoriesen_US
dc.subjectOne-dimensionalen_US
dc.subjectSpace dimensionsen_US
dc.subjectSpatial pointsen_US
dc.subjectPartial differential equationsen_US
dc.titleA Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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