Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three

In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris–Edwards Q-tensor system modeling the hydrodynamic motion of nematic liquid crystals with either Landau–De Gennes bulk potential in R³ or Ball–Majumdar bulk potential in T³, a system coupling the forced incompressible Navier–Stokes equation with a dissipative, parabolic system of Q-tensor Q in R³, which is shown to be smooth away from a closed set Σ whose 1-dimensional parabolic Hausdorff measure is zero.