The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
dc.contributor.author | Erbay, Hüsnü Ata | |
dc.contributor.author | Erkip, A. | |
dc.contributor.author | Muslu, G. M. | |
dc.date.accessioned | 2012-08-03T11:31:40Z | |
dc.date.available | 2012-08-03T11:31:40Z | |
dc.date.issued | 2012-04-15 | |
dc.identifier.issn | 0022-0396 | |
dc.identifier.uri | http://hdl.handle.net/10679/226 | |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0022039612000265 | |
dc.description.abstract | This 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. | en_US |
dc.description.sponsorship | TÜBİTAK | |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.relation | info:turkey/grantAgreement/TUBITAK/110R002 | en_US |
dc.relation.ispartof | Journal of Differential Equations | |
dc.rights | openAccess | |
dc.title | The cauchy problem for a one-dimensional nonlinear elastic peridynamic model | en_US |
dc.type | Article | en_US |
dc.description.version | pre-print | |
dc.peerreviewed | yes | en_US |
dc.publicationstatus | published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-5167-609X & YÖK ID 119316) Erbay, Hüsnü Ata | |
dc.contributor.ozuauthor | Erbay, Hüsnü Ata | |
dc.identifier.volume | 252 | |
dc.identifier.issue | 8 | |
dc.identifier.startpage | 4392 | |
dc.identifier.endpage | 4409 | |
dc.identifier.wos | WOS:000300861300003 | |
dc.identifier.doi | 10.1016/j.jde.2012.01.008 | |
dc.subject.keywords | Nonlocal cauchy problem | en_US |
dc.subject.keywords | Nonlinear peridynamic equation | en_US |
dc.subject.keywords | Global existence | en_US |
dc.subject.keywords | Blow-up | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-84856769497 | |
dc.contributor.authorMale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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