Publication:
Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities

dc.contributor.coauthorZelik, Sergey
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKalantarov, Varga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:42:17Z
dc.date.issued2012
dc.description.abstractWe prove the existence of regular dissipative solutions and global attractors for the 3D Brinkmann-Forchheimer equations with a nonlinearity of arbitrary polynomial growth rate. In order to obtain this result, we prove the maximal regularity estimate for the corresponding semi-linear stationary Stokes problem using some modification of the nonlinear localization technique. The applications of our results to the Brinkmann-Forchheimer equation with the Navier-Stokes inertial term are also considered.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue5
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume11
dc.identifier.doi10.3934/cpaa.2012.11.2037
dc.identifier.issn1534-0392
dc.identifier.scopus2-s2.0-84870452930
dc.identifier.urihttps://doi.org/10.3934/cpaa.2012.11.2037
dc.identifier.urihttps://hdl.handle.net/20.500.14288/13274
dc.identifier.wos308023400023
dc.keywordsBrinkmann-forchheimer equations
dc.keywordsAttractors
dc.keywordsMaximal regularity
dc.keywordsNonlinear localization
dc.keywordsContinuous dependence
dc.keywordsExistence
dc.language.isoeng
dc.publisherAmer Inst Mathematical Sciences
dc.relation.ispartofCommunications On Pure and Applied Analysis
dc.subjectMathematics
dc.subjectApplied mathematics
dc.titleSmooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
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
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