Publication: Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
dc.contributor.coauthor | Zelik, Sergey | |
dc.contributor.department | Department of Mathematics | |
dc.contributor.kuauthor | Kalantarov, Varga | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T23:42:17Z | |
dc.date.issued | 2012 | |
dc.description.abstract | We 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.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 5 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.volume | 11 | |
dc.identifier.doi | 10.3934/cpaa.2012.11.2037 | |
dc.identifier.issn | 1534-0392 | |
dc.identifier.scopus | 2-s2.0-84870452930 | |
dc.identifier.uri | https://doi.org/10.3934/cpaa.2012.11.2037 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/13274 | |
dc.identifier.wos | 308023400023 | |
dc.keywords | Brinkmann-forchheimer equations | |
dc.keywords | Attractors | |
dc.keywords | Maximal regularity | |
dc.keywords | Nonlinear localization | |
dc.keywords | Continuous dependence | |
dc.keywords | Existence | |
dc.language.iso | eng | |
dc.publisher | Amer Inst Mathematical Sciences | |
dc.relation.ispartof | Communications On Pure and Applied Analysis | |
dc.subject | Mathematics | |
dc.subject | Applied mathematics | |
dc.title | Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Kalantarov, Varga | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Mathematics | |
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relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
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