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arXiv · 2006.09480

Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one

Huajun Gong·Tao Huang·Changyou Wang
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Abstract

We consider the compressible Ericksen-Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density $\rho_0\geq 0$ and $\rho_0\in L^\gamma$ for $\gamma>1$.

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Huajun Gong, Tao Huang, Changyou Wang. 2020-06-16. Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one. https://arxiv.org/abs/2006.09480

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