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

0574185 - MÚ 2024 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: body-fluid interaction problem * Navier-Stokes system * small light rigid body
Obor OECD: Pure mathematics
Impakt faktor: 2.3, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0344534