Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations

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dc.authorid0000-0003-1160-9236
dc.authorid0000-0002-5167-609X
dc.contributor.authorDuruk, Nilayen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.contributor.authorErkip, Alberten_US
dc.date.accessioned2015-01-15T23:01:52Z
dc.date.available2015-01-15T23:01:52Z
dc.date.issued2011-02-01
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 coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known examples of nonlinear wave equations, such as coupled Boussinesq-type equations arising in elasticity and in quasi-continuum approximation of dense lattices, follow from the present model for suitable choices of the kernel functions. We establish local existence and sufficient conditions for finite-time blow-up and as well as global existence of solutions of the problem.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDuruk, N., Erbay, H. A. & Erkip, A. (2011). Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations. Journal of Differential Equations, 250(3), 1448-1459. doi:10.1016/j.jde.2010.09.002en_US
dc.identifier.doi10.1016/j.jde.2010.09.002
dc.identifier.endpage1459
dc.identifier.isbn1090-2732
dc.identifier.issn0022-0396
dc.identifier.issue3
dc.identifier.scopus2-s2.0-78349308320
dc.identifier.scopusqualityQ1
dc.identifier.startpage1448
dc.identifier.urihttps://hdl.handle.net/11729/421
dc.identifier.urihttp://dx.doi.org/10.1016/j.jde.2010.09.002
dc.identifier.volume250
dc.identifier.wosWOS:000285214000010
dc.identifier.wosqualityQ1
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.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlocal cauchy problemen_US
dc.subjectBoussinesq equationen_US
dc.subjectGlobal existenceen_US
dc.subjectBlow-upen_US
dc.subjectNonlocal elasticityen_US
dc.subjectElasticityen_US
dc.subjectDynamicsen_US
dc.subjectLatticeen_US
dc.titleBlow-up and global existence for a general class of nonlocal nonlinear coupled wave equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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