Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions

We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter γ. The aim is to give the asymptotic beha...

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Detalles Bibliográficos
Autores: Anguiano Moreno, María, Suárez Grau, Francisco Javier
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/89951
Acceso en línea:https://hdl.handle.net/11441/89951
https://doi.org/10.3934/nhm.2019012
Access Level:acceso abierto
Palabra clave:Homogenization
Stokes system
Darcy’s law
Thin porous medium
Non-homogeneous slip boundary condition
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spelling Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditionsAnguiano Moreno, MaríaSuárez Grau, Francisco JavierHomogenizationStokes systemDarcy’s lawThin porous mediumNon-homogeneous slip boundary conditionWe consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter γ. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as ε goes to zero. Using an adaptation of the unfolding method, we give, following the values of γ, different limit systems.Junta de AndalucíaMinisterio de Economía y Competitividad (MINECO). EspañaAmerican Institute of Mathematical SciencesAnálisis MatemáticoEcuaciones Diferenciales y Análisis NuméricoFQM104: Análisis Matemático2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/89951https://doi.org/10.3934/nhm.2019012reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNetworks & Heterogeneous Media, 14 (2), 289-316.P12-FQM-2466MTM2014-53309-Phttps://www.aimsciences.org/article/doi/10.3934/nhm.2019012info:eu-repo/semantics/openAccessoai:idus.us.es:11441/899512026-06-17T12:51:07Z
dc.title.none.fl_str_mv Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
title Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
spellingShingle Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
Anguiano Moreno, María
Homogenization
Stokes system
Darcy’s law
Thin porous medium
Non-homogeneous slip boundary condition
title_short Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
title_full Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
title_fullStr Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
title_full_unstemmed Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
title_sort Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
dc.creator.none.fl_str_mv Anguiano Moreno, María
Suárez Grau, Francisco Javier
author Anguiano Moreno, María
author_facet Anguiano Moreno, María
Suárez Grau, Francisco Javier
author_role author
author2 Suárez Grau, Francisco Javier
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
Ecuaciones Diferenciales y Análisis Numérico
FQM104: Análisis Matemático
dc.subject.none.fl_str_mv Homogenization
Stokes system
Darcy’s law
Thin porous medium
Non-homogeneous slip boundary condition
topic Homogenization
Stokes system
Darcy’s law
Thin porous medium
Non-homogeneous slip boundary condition
description We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter γ. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as ε goes to zero. Using an adaptation of the unfolding method, we give, following the values of γ, different limit systems.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/89951
https://doi.org/10.3934/nhm.2019012
url https://hdl.handle.net/11441/89951
https://doi.org/10.3934/nhm.2019012
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Networks & Heterogeneous Media, 14 (2), 289-316.
P12-FQM-2466
MTM2014-53309-P
https://www.aimsciences.org/article/doi/10.3934/nhm.2019012
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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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