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We consider a coupled PDE-ODE system describing the motion of the rigid bodyin a container filled with the incompressible, viscous fluid. The fluid and therigid body are coupled via Navier slip boundary condition. We prove that thelocal in time strong solution is unique in the larger class of weak solutionson the interval of its existence. This is the first weak-strong uniquenessresult in the area of fluid-structure interaction with a moving boundary.

Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition