Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains

Bella, PeterOschmann, Florian2025-02-242025-02-242023-02-24http://hdl.handle.net/2003/4349010.17877/DE290R-25323We analyze the behavior of weak solutions to compressible viscous fluid flows in a bounded domain in R3, randomly perforated by tiny balls with random size. Assuming the radii of the balls scale like εα, α > 3, with ε denoting the average distance between the balls, the problem homogenize to the same limiting equation. Our main contribution is a construction of the Bogovski˘ı operator, uniformly in ε, without any assumptions on the minimal distance between the balls.enArchive for rational mechanics and analysis; 247(2)https://creativecommons.org/licenses/by/4.0/510Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domainsArticleNavier-Stokes-GleichungFluiddynamikHomogenisierung <Mathematik>Divergenz <Vektoranalysis>Kompressibilität