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arXiv · 1210.1269

Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

Guochun Wu·Zhong Tan
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Abstract

We consider the weak solution of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in $\mathbb R^3$. When the initial data is small in $L^2$ and initial density is positive and essentially bounded, we first prove the existence of a global weak solution in $\mathbb R^3$. The large-time behavior of a global weak solution is also established.

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Guochun Wu, Zhong Tan. 2012-10-04. Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals. https://arxiv.org/abs/1210.1269

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