Work

Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries

Year: 2025

Type: article

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.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-025-00505-x

Authors: Kuntal Bhandari, Markus Gahn, Šárka Nečasová, Maria Neuss-Radu, María Ángeles Rodríguez-Bellido

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Heidelberg University, Friedrich-Alexander-Universität Erlangen-Nürnberg, Universidad de Sevilla

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funders: Grantová Agentura České Republiky, Akademie Věd České Republiky