Global Existence and Regularity for the Full Coupled Navier-Stokes and Q-Tensor System
Global Existence and Regularity for the Full Coupled Navier-Stokes and Q-Tensor System
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DOI：
10.1137/10079224x
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
M. Paicu;A. Zarnescu
中科院分区：
文献类型：
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作者：
M. Paicu;A. Zarnescu
在本文中，我们研究了不可压缩液晶的完整系统，在Q-张量框架建模。在一定条件下，证明了二维或三维弱解的整体存在性和二维整体正则解的存在性。我们还证明了弱-强的唯一性的解决方案，充分经常的初始数据。
In this paper we study the full system of incompressible liquid crystals, as modeled in the Q-tensor framework. Under certain conditions we prove the global existence of weak solutions in dimension two or three and the existence of global regular solutions in dimension two. We also prove the weak-strong uniqueness of the solutions, for sufficiently regular initial data.