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

Bhandari K, Gahn M, Nečasová Š, Neuss-Radu M, Rodríguez-Bellido MÁ (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Research in the Mathematical Sciences Springer

Book Volume: 12

Article Number: 20

Journal Issue: 1

DOI: 10.1007/s40687-025-00505-x

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 with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Academy of Sciences of the Czech Republic (ASCR) / Akademie věd České republiky (AVČR) CZ Czech Republic (CZ) Ruprecht-Karls-Universität Heidelberg DE Germany (DE) University of Seville / Universidad de Sevilla ES Spain (ES)

How to cite

APA:

Bhandari, K., Gahn, M., Nečasová, Š., Neuss-Radu, M., & Rodríguez-Bellido, M.Á. (2025). Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries. Research in the Mathematical Sciences, 12(1). https://doi.org/10.1007/s40687-025-00505-x

MLA:

Bhandari, Kuntal, et al. "Asymptotic limit of the compressible Navier–Stokes system on domains with rough boundaries." Research in the Mathematical Sciences 12.1 (2025).

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