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
β¦ LIBER β¦
Existence and Multiplicity of Radial Solutions Describing the Equilibrium of Nematic Liquid Crystals on Annular Domains
β Scribed by Tsorng-Whay Pan
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 134 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0022-247X
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We use the EricksenαLeslie equations to investigate the solution branch of simple planar shear flow between moving parallel plates for non-flow-orienting nematic liquid crystals. We show the existence of infinitely many limit points on the solution branch of simple planar shear flow. Hence the tumbl