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arXiv:2212.06729 [math.AP]AbstractReferencesReviewsResources

$Γ$-convergence for nearly incompressible fluids

Peter Bella, Eduard Feireisl, Florian Oschmann

Published 2022-12-13Version 1

We consider the time-dependent compressible Navier--Stokes equations in the low Mach number regime in a family of domains $\Omega_\epsilon \subset R^d$ converging in the sense of Mosco to a domain $\Omega \subset R^d$, $d \in \{2,3\}$. We show the limit is the incompressible Navier--Stokes system in $\Omega$.

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