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Global Weak Solutions to the Equations of Compressible Flow of Nematic Liquid Crystals in Two Dimensions

✍ Scribed by Fei Jiang,Song Jiang,Dehua Wang

Book ID
126342081
Publisher
Springer
Year
2014
Tongue
English
Weight
540 KB
Volume
214
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

Global weak solution to the flow of liqu
Global weak solution to the flow of liquid crystals system
✍ Fei Jiang; Zhong Tan πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 194 KB

## Abstract In this paper, we study a simplified system for the flow of nematic liquid crystals in a bounded domain in the three‐dimensional space. We derive the basic energy law which enables us to prove the global existence of the weak solutions under the condition that the initial density belong

Global existence of the finite energy we
Global existence of the finite energy weak solutions to a nematic liquid crystals model
✍ Jiankai Xu; Zhong Tan πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 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