English

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

Analysis of PDEs 2023-07-04 v3

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.

Keywords

Cite

@article{arxiv.2210.09070,
  title  = {Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations},
  author = {Šárka Nečasová and Florian Oschmann},
  journal= {arXiv preprint arXiv:2210.09070},
  year   = {2023}
}

Comments

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