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Generalized Navier-Stokes equations with nonlinear anisotropic viscosity
| dc.contributor.author | de Oliveira, H. B. | |
| dc.date.accessioned | 2020-07-24T10:51:08Z | |
| dc.date.available | 2020-07-24T10:51:08Z | |
| dc.date.issued | 2019-11 | |
| dc.description.abstract | The purpose of this work is to study the generalized Navier-Stokes equations with nonlinear viscosity that, in addition, can be fully anisotropic. Existence of very weak solutions is proved for the associated initial and boundary-value problem, supplemented with no-slip boundary conditions. We show that our existence result is optimal in some directions provided there is some compensation in the remaining directions. A particular simplification of the problem studied here, reduces to the Navier-Stokes equations with (linear) anisotropic viscosity used to model either the turbulence or the Ekman layer in atmospheric and oceanic fluid flows. | |
| dc.description.sponsorship | Portuguese Foundation for Science and Technology, PortugalPortuguese Foundation for Science and Technology [UID/MAT/04561/2019] | |
| dc.description.sponsorship | [SFRH/BSAB/135242/2017] | |
| dc.identifier.doi | 10.1142/S021953051950009X | |
| dc.identifier.issn | 0219-5305 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14201 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | World Scientific Publishing | |
| dc.subject | Weak solutions | |
| dc.subject | Existence | |
| dc.subject | Regularity | |
| dc.subject | Fluids | |
| dc.subject | Nonlinear anisotropic viscosity | |
| dc.subject | Generalized Navier-Stokes | |
| dc.title | Generalized Navier-Stokes equations with nonlinear anisotropic viscosity | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1003 | |
| oaire.citation.issue | 6 | |
| oaire.citation.startPage | 977 | |
| oaire.citation.title | Analysis and Applications (AA) | |
| oaire.citation.volume | 17 | |
| person.familyName | Borges de Oliveira | |
| person.givenName | Hermenegildo | |
| person.identifier.ciencia-id | 4A15-7156-6A00 | |
| person.identifier.orcid | 0000-0001-9053-8442 | |
| person.identifier.rid | F-3186-2014 | |
| person.identifier.scopus-author-id | 7004475473 | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 |
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