3:30 PM, Lecture Hall 1
Stabilization of a rigid body moving in a compressible viscous fluid
Arnab Roy
INRIA, Nancy, France.
25-09-19

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Abstract

In this talk, we discuss the stabilizability of a fluid-structure interaction system of a viscous, compressible fluid and rigid ball in a three dimension space with an external force acting on the ball produced by a spring and a damper connecting the centre of the ball to a fixed point $h_1$. We prove global-in-time existence result for this model under the condition that the initial velocities are small and the center of mass of the body is sufficiently near to $h_1$. In this scenario, we discuss the asymptotic behaviour of the whole system.