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arXiv · 2212.06729

$\Gamma$-convergence for nearly incompressible fluids

Peter Bella·Eduard Feireisl·Florian Oschmann
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Abstract

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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Peter Bella, Eduard Feireisl, Florian Oschmann. 2022-12-13. $\Gamma$-convergence for nearly incompressible fluids. https://arxiv.org/abs/2212.06729

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