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

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Abstract

We study the solution uε to the Navier–Stokes equations in R3 perforated by small particles centered at (εZ)3 with no-slip boundary conditions at the particles. We study the behavior of uε for small ε, depending on the diameter εα, α>1, of the particles and the viscosity εγ, γ >0, of the fluid. We prove quantitative convergence results for uε in all regimes when the local Reynolds number at ...