On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three

Marco Bravin; Šárka   Nečasová

doi:10.1007/s10884-023-10263-5

On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three

Marco Bravin^*, Šárka Nečasová

^*Corresponding author for this work

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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.

Original language	English
Pages (from-to)	3109-3124
Number of pages	16
Journal	Journal of Dynamics and Differential Equations
Volume	36
Issue number	4
DOIs	https://doi.org/10.1007/s10884-023-10263-5
Publication status	Published - 2023

Keywords

Asymptotic analysis
Fluid-structure
Navier-Stokes

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10.1007/s10884-023-10263-5

s10884-023-10263-5Final published version, 334 KBLicence: CC BY

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title = "On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three",

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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AU - Bravin, Marco

AU - Nečasová, Šárka

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Asymptotic analysis

KW - Fluid-structure

KW - Navier-Stokes

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DO - 10.1007/s10884-023-10263-5

M3 - Article

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JF - Journal of Dynamics and Differential Equations

IS - 4

ER -

On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three

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