Sufficient conditions for stability of shear flow of nematic liquid crystals

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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 languageEnglish (US)
Pages (from-to)1-6
Number of pages6
JournalInternational Journal of Applied Mathematics and Statistics
Volume43
Issue number13
StatePublished - Sep 30 2013

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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