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Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain

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dc.contributor.coauthorLi, Y. Charles
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorFaculty Member, İnci, Hasan
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:01:47Z
dc.date.issued2019
dc.description.abstractWe consider the incompressible 2D Euler equations on bounded spatial domain S, and study the solution map on the Sobolev spaces H-k(S) (k > 2). Through an elaborate geometric construction, we show that for any T > 0, the time T solution map u(0) bar right arrow u(T) is nowhere locally uniformly continuous and nowhere Frechet differentiable.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue4
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipN/A
dc.description.versionAuthor's final manuscript
dc.description.volume16
dc.identifier.doi10.4310/DPDE.2019.v16.n4.a4
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01762
dc.identifier.issn1548-159X
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85073426477
dc.identifier.urihttps://doi.org/10.4310/DPDE.2019.v16.n4.a4
dc.identifier.wos485631500004
dc.keywordsNowhere-differentiability
dc.keywordsNowhere locally uniformly continuous
dc.keywordsSolution map
dc.keywordsEuler equations
dc.language.isoeng
dc.publisherInternational Press of Boston
dc.relation.grantnoNA
dc.relation.ispartofDynamics of Partial Differential Equations
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8538
dc.subjectMathematics
dc.titleNowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorİnci, Hasan
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isParentOrgUnitOfPublicationaf0395b0-7219-4165-a909-7016fa30932d
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