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 |
| Summary: | 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. |
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