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Partial regularity of the solutions to a turbulent problem in porous media

2019-09Journal article Restricted access
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dc.contributor.authorde Oliveira, H. B.
dc.contributor.authorPaiva, A.
dc.date.accessioned2020-07-24T10:51:40Z
dc.date.available2020-07-24T10:51:40Z
dc.date.issued2019-09
dc.description.abstractA one-equation turbulent model that is being used with success in the applications to model turbulent flows through porous media is studied in this work. We consider the classical Navier-Stokes equations, with feedback forces fields, coupled with the equation for the turbulent kinetic energy (TKE) through the turbulence production term and through the turbulent and the diffusion viscosities. Under suitable growth conditions on the feedback functions involved in the model, we prove the local higher integrability of the gradient solutions to the steady version of this problem.
dc.description.sponsorshipPortuguese Foundation for Science and Technology (FCT), PortugalPortuguese Foundation for Science and Technology [SFRH/BSAB/135242/2017, UID/MAT/04561/2013]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1090/proc/14545
dc.identifier.issn0002-9939
dc.identifier.urihttp://hdl.handle.net/10400.1/14256
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmerican Mathematical Society
dc.subjectModel
dc.subjectExistence
dc.subjectEquation
dc.subjectIntegrability
dc.subjectSystem
dc.subjectTurbulence
dc.subjectK-epsilon modelling
dc.subjectPorous media
dc.subjectPartial regularity
dc.titlePartial regularity of the solutions to a turbulent problem in porous media
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.citation.endPage3981
oaire.citation.issue9
oaire.citation.startPage3961
oaire.citation.titleProceedings of the American Mathematical Society
oaire.citation.volume147
oaire.fundingStream5876
person.familyNameBorges de Oliveira
person.givenNameHermenegildo
person.identifier.ciencia-id4A15-7156-6A00
person.identifier.orcid0000-0001-9053-8442
person.identifier.ridF-3186-2014
person.identifier.scopus-author-id7004475473
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
rcaap.typearticle
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relation.isAuthorOfPublication.latestForDiscovery6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isProjectOfPublication8284f3df-79f6-4b59-a050-6a11daeb1f8c
relation.isProjectOfPublication.latestForDiscovery8284f3df-79f6-4b59-a050-6a11daeb1f8c

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