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On the well-posedness of the inviscid 2D Boussinesq equation

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultymemberYes
dc.contributor.kuauthorİnci, Hasan
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T22:51:46Z
dc.date.issued2018
dc.description.abstractIn this paper, we consider the inviscid 2D Boussinesq equation on the Sobolev spaces Hs(R2) , s> 2. Using a geometric approach, we show that for any T> 0 the corresponding solution map, (u(0 ) , θ(0 ) ) ↦ (u(T) , θ(T) ) , is nowhere locally uniformly continuous.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.peerreviewstatusN/A
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuN/A
dc.description.studentonlypublicationNo
dc.description.studentpublicationNo
dc.description.versionN/A
dc.identifier.WoSQuartileQ1
dc.identifier.doi10.1007/s00033-018-0998-6
dc.identifier.eissn1420-9039
dc.identifier.embargoN/A
dc.identifier.issn0044-2275
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85050130855
dc.identifier.urihttps://doi.org/10.1007/s00033-018-0998-6
dc.identifier.urihttps://hdl.handle.net/20.500.14288/6899
dc.identifier.volume69
dc.identifier.wos000439396300001
dc.keywordsBoussinesq equations
dc.keywordsCorresponding solutions
dc.keywordsGeometric approaches
dc.keywordsUniformly continuous
dc.keywordsWellposedness
dc.language.isoeng
dc.publisherBirkhäuser Verlag
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofZeitschrift für angewandte Mathematik und Physikde
dc.relation.ispartofJournal of Applied Mathematics and Physicsen
dc.relation.ispartofJournal de Mathématiques et de Physique appliquéesfr
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectMathematics
dc.subjectPartial differential equations
dc.subjectFluid dynamics
dc.titleOn the well-posedness of the inviscid 2D Boussinesq equation
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorİnci, Hasan
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