Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three

Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three
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DOI:
10.1137/15m1007665
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发表时间:
2014-08
期刊:
SIAM J. Math. Anal.
影响因子:
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通讯作者:
Junyu Lin;Baishun Lai;Changyou Wang
Junyu Lin;Baishun Lai;Changyou Wang
中科院分区:
其他
文献类型:
--
作者:
Junyu Lin;Baishun Lai;Changyou Wang

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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 $\mathbb S^2_+$.