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Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes
Type of publication: Article
Citation:
Publication status: Submitted
Journal: JDE
Year: 2017
Abstract: We consider the homogenization problem of the compressible Navier-Stokes equations in a bounded three dimensional domain perforated with very tiny holes. As the number of holes increases to infinity, we show that, if the size of the holes is small enough, the homogenized equations are the same as the compressible Navier-Stokes equations in the homogeneous domain—domain without holes. This coincides with the previous studies for the Stokes equations and the stationary Navier-Stokes equations. It is the first result of this kind in the instationary barotropic compressible setting. The main technical novelty is the study of the Bogovski˘ı operator in non-Lipschitz domains.
Preprint project: MORE
Preprint year: 2017
Preprint number: 18
Preprint ID: MORE/2017/18
Keywords:
Authors Lu, Yong
Schwarzacher, Sebastian
Added by: [MB]
Total mark: 0
Attachments
  • Lu-Schw.pdf
Notes
    Topics