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Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals. (English) Zbl 1179.35085

Summary: We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.

MSC:

35B65 Smoothness and regularity of solutions to PDEs
35Q30 Navier-Stokes equations
76A15 Liquid crystals
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