The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

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dc.authorid0000-0002-5167-609X
dc.authorid0000-0002-6080-4591
dc.authorid0000-0001-6353-9386
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.contributor.authorErbay, Saadeten_US
dc.contributor.authorErkip, Alberten_US
dc.date.accessioned2015-01-15T23:01:52Z
dc.date.available2015-01-15T23:01:52Z
dc.date.issued2011-04
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work has been supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project TBAG-110R002. The authors are grateful to the anonymous referees for the insightful comments and suggestions.en_US
dc.description.abstractThis paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the problem is reflected by a convolution integral in the space variables. The Fourier transform of the convolution kernel is nonnegative and satisfies a certain growth condition at infinity. For initial data in L-2 Sobolev spaces, conditions for global existence or finite time blow-up of the solutions of the Cauchy problem are established.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu (TÜBİTAK)en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationErbay, H. A., Erbay, S. & Erkip, A. (2011). The cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials. Nonlinearity, 24(4), 1347-1359. doi:10.1088/0951-7715/24/4/017en_US
dc.identifier.doi10.1088/0951-7715/24/4/017
dc.identifier.endpage1359
dc.identifier.issn0951-7715
dc.identifier.issn1361-6544
dc.identifier.issue4
dc.identifier.scopus2-s2.0-79952928250
dc.identifier.scopusqualityQ2
dc.identifier.startpage1347
dc.identifier.urihttps://hdl.handle.net/11729/418
dc.identifier.urihttp://dx.doi.org/10.1088/0951-7715/24/4/017
dc.identifier.volume24
dc.identifier.wosWOS:000288497300017
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.institutionauthorErbay, Saadeten_US
dc.institutionauthorid0000-0002-5167-609X
dc.institutionauthorid0000-0002-6080-4591
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIOP Publishing Ltden_US
dc.relation.ispartofNonlinearityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGlobal existenceen_US
dc.subjectBlow-upen_US
dc.subjectMechanicsen_US
dc.subjectBoussinesq equationsen_US
dc.subjectGlobal solutionen_US
dc.titleThe Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materialsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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