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dc.contributor.authorBessaih, Hakima
dc.contributor.authorTrabelsi, Saber
dc.contributor.authorZorgati, Hamdi
dc.date.accessioned2016-11-22T08:50:25Z
dc.date.available2016-11-22T08:50:25Z
dc.date.issued2016-10-18
dc.identifier.citationBessaih H, Trabelsi S, Zorgati H (2016) Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis 50: 1817–1823. Available: http://dx.doi.org/10.1051/m2an/2016008.
dc.identifier.issn0764-583X
dc.identifier.issn1290-3841
dc.identifier.doi10.1051/m2an/2016008
dc.identifier.urihttp://hdl.handle.net/10754/621855
dc.description.abstractWe study a modified three-dimensional incompressible anisotropic Navier−Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one. This modification appears naturally in porous media when a fluid obeys the Darcy−Forchheimer law instead of the classical Darcy law. We prove global in time existence and uniqueness of solutions without assuming the smallness condition on the initial data. This improves the result obtained for the classical 3D incompressible anisotropic Navier−Stokes equations.
dc.publisherEDP Sciences
dc.relation.urlhttp://www.esaim-m2an.org/articles/m2an/abs/2016/06/m2an150156/m2an150156.html
dc.rightsThe original publication is available at www.esaim-m2an.org
dc.subjectNavier−Stokes equations
dc.subjectBrinkman−Forchheimer-extended Darcy model
dc.subjectanisotropic viscosity
dc.titleExistence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalESAIM: Mathematical Modelling and Numerical Analysis
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionUniversity of Wyoming, Department of Mathematics, Dept. 3036, 1000 East University Avenue, Laramie WY 82071, US.
dc.contributor.institutionDépartement de Mathématiques, Campus Universitaire, Université Tunis El Manar 2092, Tunisia.
dc.identifier.arxividarXiv:1601.06178
kaust.personTrabelsi, Saber
refterms.dateFOA2018-06-14T02:51:17Z
dc.date.published-online2016-10-18
dc.date.published-print2016-11


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