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 [https://doi.org/10.1016/j.jde.2020.10.032] and Pokorný and Skříšovský [https://doi.org/10.1007/s41808-021-00124-x] where they considered the full system in periodically perforated domains. |
Subject Headings: | Homogenization in perforated domains Navier-Stokes-Fourier system Brinkman law |
URI: | http://hdl.handle.net/2003/41736 http://dx.doi.org/10.17877/DE290R-23579 |
Issue Date: | 2022-03-26 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl I Analysis |
Files in This Item:
File | Description | Size | Format | |
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s00021-022-00679-2.pdf | DNB | 469.85 kB | Adobe PDF | View/Open |
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