Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910479880814592 |
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| author | Bhandari, Kuntal Gahn, Markus Nečasová, Šárka Neuss-Radu, Maria Rodríguez-Bellido, María Ángeles |
| author_facet | Bhandari, Kuntal Gahn, Markus Nečasová, Šárka Neuss-Radu, Maria Rodríguez-Bellido, María Ángeles |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 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 Analysis of PDEs 35B40, 76N06 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. |
| title | Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries |
| topic | Analysis of PDEs 35B40, 76N06 |
| url | https://arxiv.org/abs/2406.06275 |