Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains

We consider the homogenization of compressible Navier-Stokes-Fourier equations in a randomly perforated domain $\mathbb{R}^3$. Assuming that particle size scales like $\varepsilon^\alpha$, where $\varepsilon>0$ is their mutual distance and $\alpha>3$, we show limit $\varepsilon\to 0$, velocity, density, temperature converge to solution same system. follow methods Lu Pokorn\'{y} [https://doi.org/10.1016/j.jde.2020.10.032], they considered full system periodically domains.