We give a regularity criterion for a Q-tensor system modeling a nematic
Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor
Q. Starting of a criterion only imposed on the velocity field u two
results are proved; the uniqueness of weak solutions and the global in time
weak regularity for the time derivative (∂tu,∂tQ).
This paper extends the work done in [F. Guill\'en-Gonz\'alez, M.A.
Rodr\'iguez-Bellido \& M.A. Rojas-Medar, Sufficient conditions for regularity
and uniqueness of a 3D nematic liquid crystal model, Math. Nachr. 282 (2009),
no. 6, 846-867] for a nematic Liquid Crystal model formulated in (u,d), where d denotes the orientation vector of the liquid crystal
molecules.Comment: 13 page