Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations

0574269 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
Nečasová, Šárka - Oschmann, Florian
Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations.
Calculus of Variations and Partial Differential Equations. Roč. 62, č. 6 (2023), č. článku 184. ISSN 0944-2669. E-ISSN 1432-0835
Grant CEP: GA ČR(CZ) GA22-01591S
Grant ostatní: AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equations
Obor OECD: Pure mathematics
Impakt faktor: 2.1, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00526-023-02526-2

We consider the evolutionary compressible Navier-Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of very tiny holes, the density and velocity converge to a solution of the evolutionary compressible Navier–Stokes equations in the non-perforated domain.
Trvalý link: https://hdl.handle.net/11104/0344611