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- W4296608085 abstract "We consider the motion of $N$ rigid bodies -- compact sets $(mathcal{S}^1_varepsilon, cdots, mathcal{S}^N_varepsilon )_{varepsilon > 0}$ -- immersed in a viscous incompressible fluid contained in a domain in the Euclidean space $mathbb{R}^d$, $d=2,3$. We show the fluid flow is not influenced by the presence of the infinitely many bodies in the asymptotic limit $varepsilon to 0$ and $N=N(varepsilon)rightarrowinfty$ as soon as [ {rm diam}[mathcal{S}^i_varepsilon ] to 0 mbox{as} varepsilon to 0 , i=1,cdots, N(varepsilon). ] 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." @default.
- W4296608085 created "2022-09-23" @default.
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- W4296608085 date "2022-09-19" @default.
- W4296608085 modified "2023-10-17" @default.
- W4296608085 title "On the motion of a large number of small rigid bodies in a viscous incompressible fluid" @default.
- W4296608085 doi "https://doi.org/10.48550/arxiv.2209.09284" @default.
- W4296608085 hasPublicationYear "2022" @default.
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