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 ℝ^3 or Ball–Majumdar bulk potential in 𝕋^3 , a system coupling the forced incompressible Navier–Stokes equation with a dissipative, parabolic system of Q -tensor Q in ℝ^3 , which is shown to be smooth away from a closed set Σ whose 1-dimensional parabolic Hausdorff measure is zero.