Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains

0559097 - MÚ 2023 RIV GB eng J - Journal Article
Nečasová, Šárka - Pan, J.
Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains.
Mathematical Methods in the Applied Sciences. Roč. 45, č. 12 (2022), s. 7859-7873. ISSN 0170-4214. E-ISSN 1099-1476
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : Bogovskii's operator * homogenization * Navier-Stokes system * perforated domains
OECD category: Pure mathematics
Impact factor: 2.9, year: 2022
Method of publishing: Limited access
https://doi.org/10.1002/mma.8283

In this paper, we study the homogenization problems for stationary compressible Navier–Stokes system in a bounded 2D domain, where the domain is perforated with very tiny holes (or obstacles) whose diameters are much smaller than their mutual distances. We obtain that the process of homogenization doesn't change the motion of the fluids. From another point of view, we obtain the same system of equations in asymptotic limit. It is the first result of homogenization problem in 2D compressible case.
Permanent Link: https://hdl.handle.net/11104/0332517