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arXiv · 2208.12351

On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three

Marco Bravin·Šárka Nečasová
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Abstract

In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in particular we show that a small particle is not accelerated by the fluid in the limit when its size converges to zero under a lower bound on its mass. This result is based on a new a priori estimate on the velocities of the centers of mass of rigid bodies that holds in the case when their masses are also allowed to decrease to zero.

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Marco Bravin, Šárka Nečasová. 2022-08-25. On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three. https://arxiv.org/abs/2208.12351

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