Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations

Abstract

We consider the evolutionary compressible Navier-Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of very tiny holes, the density and velocity converge to a solution of the evolutionary compressible Navier-Stokes equations in the non-perforated domain.

Published version https://doi.org/10.1007/s00526-023-02526-2

References in corpus (3)

• Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains
• Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains
• Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains

Cited by in corpus (1)

• Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent $\gamma >3$