Abstract
In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.
Original language | English |
---|---|
Article number | 84 |
Number of pages | 29 |
Journal | Journal of Evolution Equations |
Volume | 24 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2024 |
Keywords
- 35Q30
- 74Q15
- 76N15
- Compressible Navier–Stokes
- Fluid mechanics
- Homogenization
- Obstacle problem