Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals
Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals
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DOI：
10.1007/s00021-022-00677-4
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发表时间：
2021-09
影响因子：
1.3
通讯作者：
M. Murata;Y. Shibata
中科院分区：
文献类型：
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作者：
M. Murata;Y. Shibata
在本文中，我们证明了双折射液晶α-张量模型的整体适定性和衰减估计。该系统是一个由Navier-Stokes方程和描述指向矢场演化的抛物型方程耦合的系统。证明是基于最大正则性和衰减估计的线性化问题。
In this paper, we prove the global well posedness and the decay estimates for a-tensor model of nematic liquid crystals in,. This system is a coupled system by the Navier–Stokes equations with a parabolic-type equation describing the evolution of the director fields. The proof is based on the maximal–regularity and the–decay estimates to the linearized problem.