Publication:
Asymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations

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dc.contributor.coauthorZelik, Sergey
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:18:13Z
dc.date.issued2021
dc.description.abstractSlightly compressible Brinkman-Forchheimer equations in a bounded 3D domain with Dirichlet boundary conditions are considered. These equations model fluids motion in porous media. The dissipativity of these equations in higher order energy spaces is obtained and regularity and smoothing properties of the solutions are studied. In addition, the existence of a global and an exponential attractors for these equations in a natural phase space is verified.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipRussian Science Foundation (RSF) Grant
dc.description.sponsorshipResearch & Innovation (UKRI) Engineering & Physical Sciences Research Council (EPSRC) Grant
dc.description.versionAuthor's final manuscript
dc.description.volume84
dc.identifier.doi10.1007/s00245-020-09742-8
dc.identifier.eissn1432-0606
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR03103
dc.identifier.issn0095-4616
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85099592732
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1451
dc.identifier.wos609113200001
dc.keywordsBrinkman-Forchheimer equations
dc.keywordsCompressible fluid
dc.keywordsTidal equations
dc.keywordsDissipativity
dc.keywordsGlobal attractor
dc.keywordsExponential attractor
dc.keywordsRegularity of solutions
dc.keywordsLocalization
dc.language.isoeng
dc.publisherSpringer
dc.relation.grantno19-71-30004
dc.relation.grantnoEP/P024920/1
dc.relation.ispartofApplied Mathematics and Optimization
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/9761
dc.subjectMathematics
dc.titleAsymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorKalantarov, Varga
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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