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...
| Autores: | ; ; ; ; |
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| Tipo de documento: | Artículo |
| Estado: | Published version |
| 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 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Compressible Navier–Stokes system Rough boundary Asymptotic limit |
| Sumario: | 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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