dc.contributor.author | Erbay, Hüsnü Ata | en_US |
dc.contributor.author | Erbay, Saadet | en_US |
dc.contributor.author | Erkip, Albert | en_US |
dc.date.accessioned | 2015-01-15T23:01:52Z | |
dc.date.available | 2015-01-15T23:01:52Z | |
dc.date.issued | 2011-04 | |
dc.identifier.citation | Erbay, 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:10.1088/0951-7715/24/4/017 | en_US |
dc.identifier.issn | 0951-7715 | |
dc.identifier.issn | 1361-6544 | |
dc.identifier.uri | https://hdl.handle.net/11729/418 | |
dc.identifier.uri | http://dx.doi.org/10.1088/0951-7715/24/4/017 | |
dc.description.abstract | This 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.language.iso | eng | en_US |
dc.publisher | IOP Publishing Ltd | en_US |
dc.relation.isversionof | 10.1088/0951-7715/24/4/017 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Global existence | en_US |
dc.subject | Blow-up | en_US |
dc.subject | Mechanics | en_US |
dc.subject | Boussinesq equations | en_US |
dc.subject | Global solution | en_US |
dc.title | The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Nonlinearity | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0002-6080-4591 | |
dc.contributor.authorID | 0000-0002-5167-609X | |
dc.identifier.volume | 24 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1347 | |
dc.identifier.endpage | 1359 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Erbay, Hüsnü Ata | en_US |
dc.contributor.institutionauthor | Erbay, Saadet | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | |
dc.description.quality | Q2 | |
dc.description.wosid | WOS:000288497300017 | |