Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries
Abstract 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.
Authors
- Maria Neuss‐Radu (ORCID: https://orcid.org/0000-0003-1788-5354)
- María Ángeles Rodríguez‐Bellido (ORCID: https://orcid.org/0000-0002-4561-6437)
- Šárka Nečasová (ORCID: https://orcid.org/0000-0003-3853-4633)
- Markus Gahn (ORCID: https://orcid.org/0000-0002-2216-145X)
- Kuntal Bhandari (ORCID: https://orcid.org/0000-0001-9148-1951)
Institutions
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Heidelberg University (DE)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
- Universidad de Sevilla (ES)
Publication Details
- Journal
- Research in the Mathematical Sciences
- Published
- 2025-02-23
- DOI
- https://doi.org/10.1007/s40687-025-00505-x
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Grantová Agentura České Republiky
- Akademie Věd České Republiky