Abstract
AbstractIn 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 Lγ(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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