Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity

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dc.authorid0000-0003-1160-9236
dc.authorid0000-0002-5167-609X
dc.authorid0000-0001-6353-9386
dc.contributor.authorDuruk, Nilayen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.contributor.authorErkip, Alberten_US
dc.date.accessioned2015-01-15T23:01:37Z
dc.date.available2015-01-15T23:01:37Z
dc.date.issued2010-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is nonnegative. We show that some well-known examples of nonlinear wave equations, such as Boussinesq-type equations, follow from the present model for suitable choices of the kernel function. We establish global existence of solutions of the model assuming enough smoothness on the initial data together with some positivity conditions on the nonlinear term. Furthermore, conditions for finite time blow-up are provided.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDuruk, N., Erbay, H. A. & Erkip, A. (2010). Global existence and blow-up for a class of nonlocal nonlinear cauchy problems arising in elasticity. Nonlinearity, 23(1), 107-118. doi:10.1088/0951-7715/23/1/006en_US
dc.identifier.doi10.1088/0951-7715/23/1/006
dc.identifier.endpage118
dc.identifier.issn0951-7715
dc.identifier.issn1361-6544
dc.identifier.issue1
dc.identifier.scopus2-s2.0-76149100234
dc.identifier.scopusqualityQ1
dc.identifier.startpage107
dc.identifier.urihttps://hdl.handle.net/11729/391
dc.identifier.urihttp://dx.doi.org/10.1088/0951-7715/23/1/006
dc.identifier.volume23
dc.identifier.wosWOS:000272846700007
dc.identifier.wosqualityQ2
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.publisherIOP Publishingen_US
dc.relation.ispartofNonlinearityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized boussinesq equationen_US
dc.subjectBoussinesq equationsen_US
dc.subjectGlobal existenceen_US
dc.subjectGlobal solutionen_US
dc.titleGlobal existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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