Article Contents
Article Contents

# Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

• 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.
Mathematics Subject Classification: 35K55, 35Q30, 58E99, 76D05.

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