Homogenization of the Navier–Stokes equations in perforated domains in the inviscid limit

URN to cite this document:: urn:nbn:de:bvb:355-epub-549026
DOI to cite this document:: 10.5283/epub.54902

Höfer, Richard M.

License: Creative Commons: Attribution 3.0
PDF - Published Version
(480kB)

Date of publication of this fulltext: 23 Oct 2023 07:30

Alternative links to fulltext:DOI Publisher

Details

Preview

Indexed in

Export bibliographical data

Abstract

We study the solution u(epsilon) to the Navier-Stokes equations in perforated by small particles centered at with no-slip boundary conditions at the particles. We study the behavior of u(epsilon) for small epsilon, depending on the diameter epsilon(alpha), alpha > 1, of the particles and the viscosity epsilon(gamma), gamma > 0, of the fluid. We prove quantitative convergence results for ...