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Global existence of the finite energy weak solutions to a nematic liquid crystals model

✍ Scribed by Jiankai Xu; Zhong Tan

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
171 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, we are concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. For a bounded domain in R 3 , under the assumption that initial density belongs to L c (X), c > 3 2 , we show the global existence of weak solutions to the nematic liquid crystals model with a penalized system. Furthermore, we also obtain the energy inequality for weak solutions.

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