$$L^p$$-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Baba, Hind Al; Ghosh, Amrita; Muha, Boris; Nečasová, Šárka

doi:10.1007/s41808-021-00134-9

J Elliptic Parabol Equ

2021

DOI: 10.1007/s41808-021-00134-9

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$$L^p$$-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Hind Al Baba

Amrita Ghosh

Boris Muha

et al.

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Cited by 2 publications

References 42 publications

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On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid

Bravin,

Nečasová

2024

J Nonlinear Sci

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In this paper, we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when its mass and its size tend to zero. We show that the velocity of the center of mass of the rigid body coincides with the background fluid velocity in the limit. We are able to consider the limit when the volume of the rigid bodies converges to zero while their densities are a fixed constant.

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On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid

Bravin,

Nečasová

2024

J Nonlinear Sci

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

Bravin

Nečasová

2023

J Dyn Diff Equat

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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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$$L^p$$-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Cited by 2 publications

References 42 publications

On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid

On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid

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

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