On the motion of a large number of small rigid bodies in a viscous incompressible fluid

0574185 - MÚ 2024 RIV NL eng J - Journal Article
Feireisl, Eduard - Roy, A. - Zarnescu, A.
On the motion of a large number of small rigid bodies in a viscous incompressible fluid.
Journal de Mathematiques Pures et Appliquees. Roč. 175, July (2023), s. 216-236. ISSN 0021-7824. E-ISSN 1776-3371
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : body-fluid interaction problem * Navier-Stokes system * small light rigid body
OECD category: Pure mathematics
Impact factor: 2.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.matpur.2023.05.007

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.
Permanent Link: https://hdl.handle.net/11104/0344534