Stabilization of a rigid body moving in a compressible viscous fluid
Arnab Roy,
Université de Lorraine, Inria,Nancy France
| Speaker |
Arnab Roy,
Université de Lorraine, Inria,Nancy France
|
|---|---|
| When |
Dec 03, 2019
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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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.