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 ${\mathbb{R}}^3$. Assuming that the particle size scales like ${\epsilon }^{\alpha }$, where $\epsilon >0$ is their mutual distance and $\alpha >3$, we show that in the limit $\epsilon \to 0$, 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], where they considered the full system in periodically perforated domains.

16 pages

References in corpus (3)

• Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains
• Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains
• Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains

Cited by in corpus (3)

• Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations
• Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains
• Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent $\gamma >3$