✦ LIBER ✦

Global weak solution to the flow of liquid crystals system

✍ Scribed by Fei Jiang; Zhong Tan

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 194 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1132

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✦ Synopsis

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 belongs to L^γ^(Ω) for any \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}$\gamma >\frac{3}{2}$\end{document}. Especially, we also obtain that the weak solutions satisfy the energy inequality in integral or differential form. Copyright © 2009 John Wiley & Sons, Ltd.

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