Existence of Global Solutions for a Multidimensional Boussinesq-Type Equation with Supercritical Initial Energy

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dc.contributor.authorTaskesen, Hatice
dc.contributor.authorPolat, Necat
dc.date.accessioned2024-04-24T16:24:11Z
dc.date.available2024-04-24T16:24:11Z
dc.date.issued2012
dc.departmentDicle Üniversitesien_US
dc.description1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEYen_US
dc.description.abstractIn this work, global weak solutions of the multidimensional Boussinesq-type equation with power type nonlinearity gamma vertical bar u vertical bar(p), gamma > 0 and supercritical initial energy is given by potential well method. Classical energy methods can not guarantee the global existence for this type of nonlinearity. As is known the functional I (u) defined for potential well method includes only the initial displacement, and by use of sign invariance of this functional one can only prove the global existence for critical and subcritical initial energy. In the case of supercritical initial energy such a functional fails to prove the global existence. A new functional is defined, which contains not only initial displacement, but also initial velocity.en_US
dc.description.sponsorshipSci & Technol Res Council Turkey (TUBITAK),Gumushane Univ,Fatih Univen_US
dc.identifier.doi10.1063/1.4747664
dc.identifier.endpage162en_US
dc.identifier.isbn978-0-7354-1077-0
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84873263570
dc.identifier.scopusqualityQ4
dc.identifier.startpage159en_US
dc.identifier.urihttps://doi.org/10.1063/1.4747664
dc.identifier.urihttps://hdl.handle.net/11468/16567
dc.identifier.volume1470en_US
dc.identifier.wosWOS:000309524400040
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofFirst International Conference on Analysis and Applied Mathematics (Icaam 2012)
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCauchy Problemen_US
dc.subjectGlobal Existenceen_US
dc.subjectSupercritical Initial Energyen_US
dc.titleExistence of Global Solutions for a Multidimensional Boussinesq-Type Equation with Supercritical Initial Energyen_US
dc.titleExistence of Global Solutions for a Multidimensional Boussinesq-Type Equation with Supercritical Initial Energy
dc.typeConference Objecten_US

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