SIAM Journal on Mathematical Analysis, Volume 52, Issue 5, Page 4421-4468, January 2020.
In this paper, we rigorously justify the connection between the Qian--Sheng inertial $Q$-tensor model and the full Ericksen--Leslie model for the liquid crystal flow. By using the Hilbert expansion method, we prove that when the elastic coefficients tend to zero (also called the uniaxial limit), the solution to the Qian--Sheng inertial model will converge to the solution to the full inertial Ericksen--Leslie system.

中文翻译：

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从钱胜惯性QQ张量理论到Ericksen-Leslie理论的单轴极限的严格证明

SIAM数学分析杂志，第52卷，第5期，第4421-4468页，2020
年1月。在本文中，我们严格证明了钱一生惯性$ Q $张量模型与完整的Ericksen-Leslie模型之间的关系为液晶流动。通过使用希尔伯特展开法，我们证明了当弹性系数趋于零（也称为单轴极限）时，钱盛惯性模型的解将收敛到完整惯性埃里克森-莱斯利系统的解。