Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains

Abstract

We consider the homogenization of the compressible Navier-Stokes-Fourier equations in a randomly perforated domain in R3. Assuming that the particle size scales like ε^α, where ε>0 is their mutual distance and α>3, we show that in the limit ε→0, the velocity, density, and temperature converge to a solution of the same system. We follow the methods of Lu and Pokorný [https://doi.org/10.1016/j.jde.2020.10.032] and Pokorný and Skříšovský [https://doi.org/10.1007/s41808-021-00124-x] where they considered the full system in periodically perforated domains.