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Chevron pattern equations: exponential attractor and global stabilization

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dc.contributor.coauthorKalantarova, Habiba
dc.contributor.coauthorVantzos, Orestis
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:15:36Z
dc.date.issued2021
dc.description.abstractThe initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions. The stabilization of an arbitrary fixed solution is shown in one spatial dimension along with relevant numerical results.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipN/A
dc.description.versionAuthor's final manuscript
dc.description.volume49
dc.identifier.doi10.1007/s10013-021-00486-8
dc.identifier.eissn2305-2228
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR03228
dc.identifier.issn2305-221X
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-85105366388
dc.identifier.urihttps://doi.org/10.1007/s10013-021-00486-8
dc.identifier.wos645179400001
dc.keywordsChevron patterns
dc.keywordsFeedback stabilization
dc.keywordsExponential attractor
dc.keywordsFourier modes
dc.keywordsFinite differences
dc.language.isoeng
dc.publisherSpringer
dc.relation.grantnoNA
dc.relation.ispartofVietnam Journal of Mathematics
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/10007
dc.subjectMathematics
dc.titleChevron pattern equations: exponential attractor and global stabilization
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorKalantarov, Varga
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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