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

Simple item page
dc.contributor.coauthorLi, Y. Charles
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorİnci, Hasan
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid274184
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.formatpdf
dc.identifier.doi10.4310/DPDE.2019.v16.n4.a4
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01762
dc.identifier.issn1548-159X
dc.identifier.linkhttps://doi.org/10.4310/DPDE.2019.v16.n4.a4
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85073426477
dc.identifier.urihttps://hdl.handle.net/20.500.14288/973
dc.identifier.wos485631500004
dc.keywordsNowhere-differentiability
dc.keywordsNowhere locally uniformly continuous
dc.keywordsSolution map
dc.keywordsEuler equations
dc.languageEnglish
dc.publisherInternational Press of Boston
dc.relation.grantnoNA
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8538
dc.sourceDynamics of Partial Differential Equations
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.authorid0000-0001-9626-5000
local.contributor.kuauthorİnci, Hasan
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
8538.pdf
Size:
149.97 KB
Format:
Adobe Portable Document Format
Download

Collections

Publications with Fulltext