Description
Partial Differential Equations seminar.
Speaker: Arnab Roy.
Affiliation: INRIA, Nancy.
Date and Time: Wednesday 13 November, 3:00 pm - 4:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Stabilization of a rigid body moving in a compressible viscous fluid.
Abstract: In this talk, we discuss the stabilization 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.