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...
| Authors: | ; ; ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::3fedc61db4ce093fd5cacd81a41c1ce4 |
| Online Access: | https://hdl.handle.net/11441/186541 https://doi.org/10.1007/s40687-025-00505-x |
| Access Level: | Open access |
| Keyword: | Compressible Navier–Stokes system Rough boundary Asymptotic limit |
| _version_ | 1878742681522274305 |
|---|---|
| author | Bhandari, Kuntal |
| author2 | Gahn, Markus Nečasová, Šárka Neuss Radu, Maria Rodríguez Bellido, María Ángeles |
| author2_role | author author author author |
| author_browse | Bhandari, Kuntal Gahn, Markus Neuss Radu, Maria Nečasová, Šárka Rodríguez Bellido, María Ángeles |
| author_facet | Bhandari, Kuntal Gahn, Markus Nečasová, Šárka Neuss Radu, Maria Rodríguez Bellido, María Ángeles |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_fa4fcd375e1eca77bef4a7f26a1ca8a3 |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:dnet:idus________::3fedc61db4ce093fd5cacd81a41c1ce4 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries Bhandari, Kuntal Gahn, Markus Nečasová, Šárka Neuss Radu, Maria Rodríguez Bellido, María Ángeles Compressible Navier–Stokes system Rough boundary Asymptotic limit 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. Springer https://hdl.handle.net/11441/186541 https://doi.org/10.1007/s40687-025-00505-x |
| spellingShingle | Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries Bhandari, Kuntal Compressible Navier–Stokes system Rough boundary Asymptotic limit |
| status_str | publishedVersion |
| title | 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_short | 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 |
| topic | Compressible Navier–Stokes system Rough boundary Asymptotic limit |
| topic_facet | Compressible Navier–Stokes system Rough boundary Asymptotic limit |
| url | https://hdl.handle.net/11441/186541 https://doi.org/10.1007/s40687-025-00505-x |