On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three
Journal Article
(2023)
Research Group
Analysis
Copyright
© 2023 M. Bravin, Šárka Nečasová
DOI related publication
https://doi.org/10.1007/s10884-023-10263-5
To reference this document use:
https://resolver.tudelft.nl/uuid:665b4837-853f-4b5a-b8a8-c036436490a3
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Publication Year
2023
Language
English
Copyright
© 2023 M. Bravin, Šárka Nečasová
Research Group
Analysis
Issue number
4
Volume number
36
Pages (from-to)
3109-3124
Reuse Rights
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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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