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January  1996, 2(1): 1-22. doi: 10.3934/dcds.1996.2.1

Partial regularity of the dynamic system modeling the flow of liquid crystals

Fanghua Lin 1, and  Chun Liu 2,

1. 

Courant Institute, New York University, United States
2. 

Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA 15213, United States

Received  October 1995 Published  October 1995

Here 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 on the pressure term.
Keywords: flow of liquid crystals., dynamical systems.
Mathematics Subject Classification: 37Dx.
Citation: Fanghua Lin, Chun Liu. Partial regularity of the dynamic system modeling the flow of liquid crystals. Discrete & Continuous Dynamical Systems - A, 1996, 2 (1) : 1-22. doi: 10.3934/dcds.1996.2.1
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