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arXiv · 1408.4149

Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three

Junyu Lin·Baishun Lai·Changyou Wang
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Abstract

In this paper, we consider the initial and boundary value problem of a simplified compressible nematic liquid crystal flow in $\Omega\subset\mathbb R^3$. We establish the existence of global weak solutions, provided the initial orientational director field $d_0$ lies in the hemisphere $\mathbb S^2_+$.

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Junyu Lin, Baishun Lai, Changyou Wang. 2014-08-18. Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three. https://arxiv.org/abs/1408.4149

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