On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three
Marco Bravin (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Šárka Nečasová (Czech Academy of Sciences)
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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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