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Energy conservative solutions to a nonlinear wave system of nematic liquid crystals

โœ Scribed by Chen, Geng; Zhang, Ping; Zheng, Yuxi


Book ID
125842352
Publisher
American Institute of Mathematical Sciences
Year
2013
Tongue
English
Weight
467 KB
Volume
12
Category
Article
ISSN
1534-0392

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โœ Jiankai Xu; Zhong Tan ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 171 KB

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