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Partial regularity of a nematic liquid crystal model with kinematic transport effects
Nonlinearity ( IF 1.6 ) Pub Date : 2021-05-12 , DOI: 10.1088/1361-6544/abe51c Hengrong Du , Changyou Wang
中文翻译:
具有运动输运效应的向列液晶模型的部分规律性
更新日期:2021-05-12
Nonlinearity ( IF 1.6 ) Pub Date : 2021-05-12 , DOI: 10.1088/1361-6544/abe51c Hengrong Du , Changyou Wang
In this paper, we will establish the global existence of a suitable weak solution to the Erickson–Leslie system modelling hydrodynamics of nematic liquid crystal flows with kinematic transports for molecules of various shapes in , which is smooth away from a closed set of (parabolic) Hausdorff dimension at most .
中文翻译:
具有运动输运效应的向列液晶模型的部分规律性
在本文中,我们将建立 Erickson-Leslie 系统的一个合适的弱解的全局存在性,该系统模拟向列液晶流动的流体动力学,在 中具有各种形状的分子的运动输运,远离封闭的(抛物线)至多豪斯多夫维数。