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arXiv · 2210.09070

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

Šárka Nečasová·Florian Oschmann
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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.

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Šárka Nečasová, Florian Oschmann. 2022-10-17. Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations. https://doi.org/10.1007/s00526-023-02526-2

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