Abstract

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

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