Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries

In this paper, we study the asymptotic behavior of solutions to the compressible Navier–Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length proportional to a small parameter. Imposing the full-slip bounda...

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Detalles Bibliográficos
Autores: Bhandari, Kuntal, Gahn, Markus, Nečasová, Šárka, Neuss Radu, Maria, Rodríguez Bellido, María Ángeles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::3fedc61db4ce093fd5cacd81a41c1ce4
Acceso en línea:https://hdl.handle.net/11441/186541
https://doi.org/10.1007/s40687-025-00505-x
Access Level:acceso abierto
Palabra clave:Compressible Navier–Stokes system
Rough boundary
Asymptotic limit
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spelling Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundariesBhandari, KuntalGahn, MarkusNečasová, ŠárkaNeuss Radu, MariaRodríguez Bellido, María ÁngelesCompressible Navier–Stokes systemRough boundaryAsymptotic limitIn this paper, we study the asymptotic behavior of solutions to the compressible Navier–Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length proportional to a small parameter. Imposing the full-slip boundary conditions, we show that in the asymptotic limit the fluid sticks completely to the boundary, provided the oscillations are non-degenerate, meaning not oriented in a single direction.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/186541https://doi.org/10.1007/s40687-025-00505-xreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésResearch in the Mathematical Sciences, 12 (1). 10.1007/s40687-025-00505-xinfo:eu-repo/semantics/openAccessoai:dnet:idus________::3fedc61db4ce093fd5cacd81a41c1ce42026-06-17T12:51:07Z
dc.title.none.fl_str_mv Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
title Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
spellingShingle Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
Bhandari, Kuntal
Compressible Navier–Stokes system
Rough boundary
Asymptotic limit
title_short Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
title_full Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
title_fullStr Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
title_full_unstemmed Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
title_sort Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
dc.creator.none.fl_str_mv Bhandari, Kuntal
Gahn, Markus
Nečasová, Šárka
Neuss Radu, Maria
Rodríguez Bellido, María Ángeles
author Bhandari, Kuntal
author_facet Bhandari, Kuntal
Gahn, Markus
Nečasová, Šárka
Neuss Radu, Maria
Rodríguez Bellido, María Ángeles
author_role author
author2 Gahn, Markus
Nečasová, Šárka
Neuss Radu, Maria
Rodríguez Bellido, María Ángeles
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software
dc.subject.none.fl_str_mv Compressible Navier–Stokes system
Rough boundary
Asymptotic limit
topic Compressible Navier–Stokes system
Rough boundary
Asymptotic limit
description In this paper, we study the asymptotic behavior of solutions to the compressible Navier–Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast oscillations with amplitude and characteristic wave length proportional to a small parameter. Imposing the full-slip boundary conditions, we show that in the asymptotic limit the fluid sticks completely to the boundary, provided the oscillations are non-degenerate, meaning not oriented in a single direction.
publishDate 2025
dc.date.none.fl_str_mv 2025
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 https://hdl.handle.net/11441/186541
https://doi.org/10.1007/s40687-025-00505-x
url https://hdl.handle.net/11441/186541
https://doi.org/10.1007/s40687-025-00505-x
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Research in the Mathematical Sciences, 12 (1).
10.1007/s40687-025-00505-x
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 Springer
publisher.none.fl_str_mv Springer
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 15.81155

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