SMALL DATA GLOBAL REGULARITY FOR THE 3-D ERICKSEN-LESLIE HYPERBOLIC LIQUID CRYSTAL MODEL WITHOUT KINEMATIC TRANSPORT
SMALL DATA GLOBAL REGULARITY FOR THE 3-D ERICKSEN-LESLIE HYPERBOLIC LIQUID CRYSTAL MODEL WITHOUT KINEMATIC TRANSPORT
复制标题
无运动输运的 3-D Ericksen-Leslie 双曲液晶模型的小数据全局正则性
DOI：
10.1137/20m1322625
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发表时间：
2021
影响因子：
2
通讯作者：
Zhao Lifeng
中科院分区：
文献类型：
--
作者：
Huang Jiaxi;Jiang Ning;Luo Yi-Long;Zhao Lifeng
本文考虑三维空间中无运动输运的不可压缩液晶模型的Ericksen-Leslie双曲组。当系统是不可压N-S方程的非线性耦合时，证明了在平衡点附近小而光滑的初值的全局正则性.我们的论点是矢量场方法和傅立叶分析的结合。
In this article, we consider the Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model without kinematic transport in three spatial dimensions. Global regularity for small and smooth initial data near an equilibrium is proved for the case that the system is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to $\mathbb{S}^2$. Our argument is a combination of vector field method and Fourier analysis.