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The cauchy problem for a one-dimensional nonlinear elastic peridynamic model

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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErkip, A.
dc.contributor.authorMuslu, G. M.
dc.contributor.departmentNatural and Mathematical Sciences
dc.contributor.ozuauthorERBAY, Hüsnü Ata
dc.date.accessioned2012-08-03T11:31:40Z
dc.date.available2012-08-03T11:31:40Z
dc.date.issued2012-04-15
dc.description.abstractThis paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved first in the sublinear case and then for nonlinearities of degree at most three. The conditions for finite-time blow-up of solutions are established.
dc.description.sponsorshipTÜBİTAK
dc.description.versionpre-print
dc.identifier.doi10.1016/j.jde.2012.01.008
dc.identifier.endpage4409
dc.identifier.issn0022-0396
dc.identifier.issue8
dc.identifier.scopus2-s2.0-84856769497
dc.identifier.startpage4392
dc.identifier.urihttp://hdl.handle.net/10679/226
dc.identifier.urihttps://doi.org/10.1016/j.jde.2012.01.008
dc.identifier.volume252
dc.identifier.wos000300861300003
dc.language.isoeng
dc.peerreviewedyes
dc.publicationstatuspublished
dc.publisherElsevier
dc.relation.ispartofJournal of Differential Equations
dc.relation.projectinfo:eu-repo/grantAgreement/TUBITAK/1001 - Bilimsel ve Teknolojik Araştırma Projelerini Destekleme Programı/110R002
dc.relation.publicationcategoryInternational Refereed Journal
dc.rightsopenAccess
dc.subject.keywordsNonlocal cauchy problem
dc.subject.keywordsNonlinear peridynamic equation
dc.subject.keywordsGlobal existence
dc.subject.keywordsBlow-up
dc.titleThe cauchy problem for a one-dimensional nonlinear elastic peridynamic model
dc.typearticle
dspace.entity.typePublication
relation.isOrgUnitOfPublication7a8a2b87-4f48-440a-a491-3c0b2888cbca
relation.isOrgUnitOfPublication.latestForDiscovery7a8a2b87-4f48-440a-a491-3c0b2888cbca

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