Weak-strong uniqueness for a fluid-rigid body interaction problem

Analisys Seminar  | Boris Muha

Analisys Seminar

Speaker: Boris Muha,  Department of Mathematics, University of Zagreb

Date: 2017, 22th november

Time: 1 pm

Place: Seminar Room, building VII

 

Abstract:

We consider a coupled PDE-ODE system describing the motion of the rigid body in a container filled with the incompressible, viscous fluid. The fluid and the rigid body are coupled via Navier’s slip boundary condition. We prove that the local in time strong solution is unique in the larger class of weak solutions on the interval of its existence. This is the first weak-strong uniqueness result in the area of fluid-structure interaction.

The presented result is joined work with N. V. Chemetov and S. Necasova.