  In this paper we study a mathematical model describing the movement of a
colloidal particle in a fixed, bounded three dimensional container filled with
a nematic liquid crystal fluid. The motion of the fluid is governed by the
Beris-Edwards model for nematohydrodynamics equations, which couples the
incompressible Navier-Stokes equations with a parabolic system. The dynamics of
colloidal particle within the nematic liquid crystal is described by the
conservation laws of linear and angular momentum. We prove the existence of
global weak solutions for the coupled system.
