Abstract
In this paper we investigate the role of Parodi's relation in the stability of the general Ericksen-Leslie system modeling nematic liquid crystal flows. For shear flow of nematic liquid crystals, Wu, Xu and Liu have shown that if Parodi's relation does not hold, the Ericksen-Leslie system may be linearly unstable. Assuming Parodi's relation and adding a restriction on the alignment of the molecules via Leslie coefficients, we show in this work that the Ericksen-Leslie system satisfies the stablity condition for shear flow of nematic liquid crystals.
Original language | English (US) |
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Pages (from-to) | 1-6 |
Number of pages | 6 |
Journal | International Journal of Applied Mathematics and Statistics |
Volume | 43 |
Issue number | 13 |
State | Published - Sep 30 2013 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics