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On the well-posedness of the hyperelastic rod equation

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dc.contributor.coauthorN/A
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorİnci, Hasan
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid274184
dc.date.accessioned2024-11-09T23:49:00Z
dc.date.issued2019
dc.description.abstractIn this paper we consider the hyperelastic rod equation on the Sobolev spaces Hs(R), s>3/2. Using a geometric approach we show that for any T>0 the corresponding solution map, u(0)?u(T), is nowhere locally uniformly continuous. The method applies also to the periodic case Hs(T), s>3/2.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.volume198
dc.identifier.doi10.1007/s10231-018-0798-9
dc.identifier.eissn1618-1891
dc.identifier.issn0373-3114
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85055116258
dc.identifier.urihttp://dx.doi.org/10.1007/s10231-018-0798-9
dc.identifier.urihttps://hdl.handle.net/20.500.14288/14276
dc.identifier.wos468996400006
dc.keywordsHyperelastic rod equation
dc.keywordsSolution map
dc.keywordsDiffeomorphism groups
dc.languageEnglish
dc.publisherSpringer Heidelberg
dc.sourceAnnali di Matematica Pura Ed Applicata
dc.subjectMathematics
dc.subjectApplied mathematics
dc.titleOn the well-posedness of the hyperelastic rod equation
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

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