Blow-up criteria for a two-component nonlinear dispersive wave system

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dc.contributor.authorNovruzov, Emil
dc.contributor.authorBayrak, Vural
dc.date.accessioned2025-10-29T11:26:43Z
dc.date.issued2022
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractWe investigate the blow-up phenomena for the two-component generalizations of nonlinear dispersive wave equation on the real line that includes the two-component Camassa-Holm system as well as the system for the hyperelasticrod wave equation as special cases. We establish a blowup criterion for system of coupled equations under certain natural initial profiles. The obtained criterion involves only the properties of the data u0 in a neighbourhood of a single point and consequently, it is local-in-space with respect to first component of the system under consideration. (C)2022 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.jfa.2022.109454
dc.identifier.issn0022-1236
dc.identifier.issn1096-0783
dc.identifier.issue12
dc.identifier.orcid0000-0001-7619-4823
dc.identifier.scopus2-s2.0-85126557439
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.jfa.2022.109454
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10411
dc.identifier.volume282
dc.identifier.wosWOS:000795160200002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Functional Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectNonlinear dispersive wave equation
dc.subjectRod equation
dc.subjectBlow-up
dc.subjectShallow water
dc.titleBlow-up criteria for a two-component nonlinear dispersive wave system
dc.typeArticle

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