Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two

In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacl...

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Detalhes bibliográficos
Autor: Bravin, Marco|||0000-0001-7366-5722
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/39345
Acesso em linha:https://hdl.handle.net/10902/39345
Access Level:acceso abierto
Palavra-chave:Fluid mechanics
Compressible Navier–Stokes
Homogenization
Obstacle problem
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spelling Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension twoBravin, Marco|||0000-0001-7366-5722Fluid mechanicsCompressible Navier–StokesHomogenizationObstacle problemIn this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.M.B. is supported by the NWO Grant OCENW.M20.194. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.SpringerUniversidad de Cantabria20242024-10-02journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/39345Journal of Evolution Equations, 2024, 24(4), 84reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/393452026-06-02T12:39:31Z
dc.title.none.fl_str_mv Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
title Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
spellingShingle Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
Bravin, Marco|||0000-0001-7366-5722
Fluid mechanics
Compressible Navier–Stokes
Homogenization
Obstacle problem
title_short Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
title_full Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
title_fullStr Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
title_full_unstemmed Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
title_sort Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
dc.creator.none.fl_str_mv Bravin, Marco|||0000-0001-7366-5722
author Bravin, Marco|||0000-0001-7366-5722
author_facet Bravin, Marco|||0000-0001-7366-5722
author_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Fluid mechanics
Compressible Navier–Stokes
Homogenization
Obstacle problem
topic Fluid mechanics
Compressible Navier–Stokes
Homogenization
Obstacle problem
description In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-10-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/39345
url https://hdl.handle.net/10902/39345
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Journal of Evolution Equations, 2024, 24(4), 84
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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