Authors: | Bella, Peter Oschmann, Florian |
Title: | Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains |
Language (ISO): | en |
Abstract: | In this note, we consider the homogenization of the compressible Navier-Stokes equations in a periodically perforated domain in R3. Assuming that the particle size scales like ε3, where ε>0 is their mutual distance, and that the Mach number decreases fast enough, we show that in the limit ε→0, the velocity and density converge to a solution of the incompressible Navier-Stokes equations with Brinkman term. We strongly follow the methods of Höfer, Kowalczyk and Schwarzacher [https://doi.org/10.1142/S0218202521500391], where they proved convergence to Darcy’s law for the particle size scaling like εα with α∈(1,3). |
URI: | http://hdl.handle.net/2003/42058 http://dx.doi.org/10.17877/DE290R-23891 |
Issue Date: | 2022-07-02 |
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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s00021-022-00707-1.pdf | DNB | 432.24 kB | Adobe PDF | View/Open |
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