Oschmann, Florian2023-06-122023-06-122022-03-26http://hdl.handle.net/2003/41736http://dx.doi.org/10.17877/DE290R-23579We 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.enHomogenization in perforated domainsNavier-Stokes-Fourier systemBrinkman law510Text