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

0559097 - MÚ 2023 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: Bogovskii's operator * homogenization * Navier-Stokes system * perforated domains
Obor OECD: Pure mathematics
Impakt faktor: 2.9, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0332517