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Global behavior of solutions to chevron pattern equations

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dc.contributor.coauthorKalantarova, H.
dc.contributor.coauthorVantzos, O.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:32:55Z
dc.date.issued2020
dc.description.abstractConsidering a system of equations modeling the chevron pattern dynamics, we show that the corresponding initial boundary value problem has a unique weak solution that continuously depends on initial data, and the semigroup generated by this problem in the phase space X-0 : L-2(Omega) x L-2(Omega) has a global attractor. We also provide some insight into the behavior of the system, by reducing it under special assumptions to systems of ordinary differential equations, which can, in turn, be studied as dynamical systems.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue6
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipN/A
dc.description.versionPublisher version
dc.description.volume61
dc.identifier.doi10.1063/5.0012525
dc.identifier.eissn1089-7658
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR02324
dc.identifier.issn0022-2488
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85087766246
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1992
dc.identifier.wos542960400002
dc.language.isoeng
dc.publisherAmerican Institute of Physics (AIP) Publishing
dc.relation.grantnoNA
dc.relation.ispartofJournal of Mathematical Physics
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8950
dc.subjectPhysics, mathematical
dc.titleGlobal behavior of solutions to chevron pattern equations
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorKalantarov, Varga
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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