Homogenization problems for the compressible Navier–Stokes system in 2D perforated domains
Šárka Nečasová, Jiaojiao Pan · Mathematical Methods in the Applied Sciences · 2022
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.