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Partial regularity of the dynamic system modeling the flow of liquid crystals. (English) Zbl 0948.35098
Summary: We established the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals. It is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates of the pressure term.
MSC:
35Q30Stokes and Navier-Stokes equations
76A15Liquid crystals (fluid mechanics)
35D10Regularity of generalized solutions of PDE (MSC2000)
82D30Random media, disordered materials (statistical mechanics)