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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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