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@ARTICLE{,
            author = {Lu, Yong and Schwarzacher, Sebastian},
             title = {Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes},
           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˘{\i}
operator in non-Lipschitz domains.},
  Preprint project = {MORE},
     Preprint year = {2017},
   Preprint number = {18},
       Preprint ID = {MORE/2017/18}
}