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On the motion of a large number of small rigid bodies in a viscous incompressible fluid
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SYSNO ASEP 0574185 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the motion of a large number of small rigid bodies in a viscous incompressible fluid Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Roy, A. (DE)
Zarnescu, A. (ES)Source Title Journal de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 175, July (2023), s. 216-236Number of pages 21 s. Language eng - English Country NL - Netherlands Keywords body-fluid interaction problem ; Navier-Stokes system ; small light rigid body Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001057777000001 EID SCOPUS 85159917367 DOI 10.1016/j.matpur.2023.05.007 Annotation We consider the motion of N rigid bodies – compact sets (Sε1,⋯,SεN)ε>0 – immersed in a viscous incompressible fluid contained in a domain in the Euclidean space Rd, d=2,3. We show the fluid flow is not influenced by the presence of the infinitely many bodies in the asymptotic limit ε→0 and N=N(ε)→∞ as soon as diamSεi→0asε→0,i=1,⋯,N(ε). The result depends solely on the geometry of the bodies and is independent of their mass densities. Collisions are allowed and the initial data are arbitrary with finite energy. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1016/j.matpur.2023.05.007
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