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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:

35Q30 Navier-Stokes equations
76A15 Liquid crystals
35D10 Regularity of generalized solutions of PDE (MSC2000)
82D30 Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses)
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