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.
Original language | English |
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Number of pages | 16 |
Journal | Journal of Dynamics and Differential Equations |
DOIs | |
Publication status | Published - 2023 |
Keywords
- Asymptotic analysis
- Fluid-structure
- Navier-Stokes