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On a one-equation turbulent model with feedbacks

dc.contributor.authorde Oliveira, H. B.
dc.contributor.authorPaiva, A.
dc.contributor.editorPinelas, S.
dc.contributor.editorDošlá, Z.
dc.contributor.editorDošlý, O.
dc.contributor.editorKloeden, P. E.
dc.date.accessioned2017-04-07T15:57:19Z
dc.date.available2017-04-07T15:57:19Z
dc.date.issued2016
dc.description.abstractA one-equation turbulent model is derived in this work on the basis of the approach used for the k-epsilon model. The novelty of the model consists in the consideration of a general feedback forces field in the momentum equation and a rather general turbulent dissipation function in the equation for the turbulent kinetic energy. For the steady-state associated boundary value problem, we prove the uniqueness of weak solutions under monotonous conditions on the feedbacks and smallness conditions on the solutions to the problem. We also discuss the existence of weak solutions and issues related with the higher integrability of the solutions gradients.
dc.identifier.doihttps://doi.org/10.1007/978-3-319-32857-7_5
dc.identifier.isbn978-3-319-32857-7
dc.identifier.issn2194-1009
dc.identifier.otherAUT: HOL01377;
dc.identifier.urihttp://hdl.handle.net/10400.1/9676
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer, Cham
dc.relation.isbasedonWOS:000391876600005
dc.subjectTurbulence
dc.subjectK-epsilon model
dc.subjectFeedback forces
dc.subjectUniqueness
dc.titleOn a one-equation turbulent model with feedbacks
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceAmadora, Portugal
oaire.citation.endPage61
oaire.citation.startPage51
oaire.citation.titleDifferential and Difference Equations with Applications, ICDDEA 2015. Springer Proceedings in Mathematics & Statistics
oaire.citation.volume164
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
rcaap.rightsopenAccess
rcaap.typearticle
relation.isAuthorOfPublication6f0df0e9-24bf-43d5-97b3-4a709a59e2b5
relation.isAuthorOfPublication.latestForDiscovery6f0df0e9-24bf-43d5-97b3-4a709a59e2b5

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