On the Navier boundary condition for viscous fluids in rough domains

In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough domains assuming Navier boundary conditions on the rough boundary. Our main interest is to study the relation between both the adherence and the Navier boundary conditions in the ca...

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Detalles Bibliográficos
Autores: Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41507
Acceso en línea:http://hdl.handle.net/11441/41507
https://doi.org/10.1007/BF03322603
Access Level:acceso abierto
Palabra clave:Rough boundary
Stokes equations
Navier condition
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spelling On the Navier boundary condition for viscous fluids in rough domainsCasado Díaz, JuanLuna Laynez, ManuelSuárez Grau, Francisco JavierRough boundaryStokes equationsNavier conditionIn this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough domains assuming Navier boundary conditions on the rough boundary. Our main interest is to study the relation between both the adherence and the Navier boundary conditions in the case of a boundary with weak rugosities. We show that the roughness acts on the fluid as a friction term. In particular, if the roughness is sufficiently strong, Navier condition implies adherence condition. This generalizes previous results of other authors.Ministerio de Ciencia e InnovaciónJunta de AndalucíaSociedad Española de Matemática AplicadaEcuaciones Diferenciales y Análisis NuméricoMinisterio de Ciencia e Innovación (MICIN). EspañaJunta de Andalucía2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41507https://doi.org/10.1007/BF03322603reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésBoletín de la Sociedad Española de Matemática Aplicada, 58, 5-24.MTM2008-00306FQM309http://dx.doi.org/10.1007/BF03322603info:eu-repo/semantics/openAccessoai:idus.us.es:11441/415072026-06-17T12:51:07Z
dc.title.none.fl_str_mv On the Navier boundary condition for viscous fluids in rough domains
title On the Navier boundary condition for viscous fluids in rough domains
spellingShingle On the Navier boundary condition for viscous fluids in rough domains
Casado Díaz, Juan
Rough boundary
Stokes equations
Navier condition
title_short On the Navier boundary condition for viscous fluids in rough domains
title_full On the Navier boundary condition for viscous fluids in rough domains
title_fullStr On the Navier boundary condition for viscous fluids in rough domains
title_full_unstemmed On the Navier boundary condition for viscous fluids in rough domains
title_sort On the Navier boundary condition for viscous fluids in rough domains
dc.creator.none.fl_str_mv Casado Díaz, Juan
Luna Laynez, Manuel
Suárez Grau, Francisco Javier
author Casado Díaz, Juan
author_facet Casado Díaz, Juan
Luna Laynez, Manuel
Suárez Grau, Francisco Javier
author_role author
author2 Luna Laynez, Manuel
Suárez Grau, Francisco Javier
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
Ministerio de Ciencia e Innovación (MICIN). España
Junta de Andalucía
dc.subject.none.fl_str_mv Rough boundary
Stokes equations
Navier condition
topic Rough boundary
Stokes equations
Navier condition
description In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough domains assuming Navier boundary conditions on the rough boundary. Our main interest is to study the relation between both the adherence and the Navier boundary conditions in the case of a boundary with weak rugosities. We show that the roughness acts on the fluid as a friction term. In particular, if the roughness is sufficiently strong, Navier condition implies adherence condition. This generalizes previous results of other authors.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41507
https://doi.org/10.1007/BF03322603
url http://hdl.handle.net/11441/41507
https://doi.org/10.1007/BF03322603
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Boletín de la Sociedad Española de Matemática Aplicada, 58, 5-24.
MTM2008-00306
FQM309
http://dx.doi.org/10.1007/BF03322603
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Sociedad Española de Matemática Aplicada
publisher.none.fl_str_mv Sociedad Española de Matemática Aplicada
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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