  We consider density dependent, non-Newtonian, incompressible system with the
space being flat torus. The viscious stress in the momentum equation is
understood through the rheological law and its connection to the proper convex
potential. We define the dissipative measure-valued solutions for the
aforementioned equations as well as provide a proof of its existence. The main
result of this work is the mv-strong uniqueness of the defined solutions.
