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 [], where they proved convergence to Darcy’s law for the particle size scaling like εα with α∈(1,3).
Issue Date: 2022-07-02
Rights link:
Appears in Collections:Lehrstuhl I Analysis

Files in This Item:
File Description SizeFormat 
s00021-022-00707-1.pdfDNB432.24 kBAdobe PDFView/Open

This item is protected by original copyright

This item is licensed under a Creative Commons License Creative Commons