Authors: Oschmann, Florian
Title: Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains
Language (ISO): en
Abstract: We consider the homogenization of the compressible Navier-Stokes-Fourier equations in a randomly perforated domain in R3. Assuming that the particle size scales like ε^α, where ε>0 is their mutual distance and α>3, we show that in the limit ε→0, the velocity, density, and temperature converge to a solution of the same system. We follow the methods of Lu and Pokorný [] and Pokorný and Skříšovský [] where they considered the full system in periodically perforated domains.
Subject Headings: Homogenization in perforated domains
Navier-Stokes-Fourier system
Brinkman law
Issue Date: 2022-03-26
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Appears in Collections:Lehrstuhl I Analysis

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