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Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
Partial regularity of the dynamic system modeling the flow of liquid crystals.
(English)
[J] Discrete Contin. Dyn. Syst. 2, No.1, 1-22 (1996). ISSN 1078-0947; ISSN 1553-5231/e

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 2000:
*35Q30 Stokes and Navier-Stokes equations
76A15 Liquid crystals
35D10 Regularity of generalized solutions of PDE
82D30 Random media, etc.

Keywords: regularity; weak solutions; flow of liquid crystals

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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