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On the Dynamical Q-tensor Models of Liquid Crystals

Shijin DING

Dean & Professor
Department of Mathematics
South China Normal University

In this talk, we first introduce the models of nematic liquid crystals and the known results about the models. Then, we focus on the dynamical Q-tensor model, that is, Beris-Edward model. For this model, we prove the global existence of weak solutions, the global existence of strong solutions with large viscosity, and the weak-strong uniqueness. In our discussions, the Landau-de Gennes functional takes a general form in which we only assume L_5=0, L_1>0 and L_2+L_3>0.