FRAME HYDRODYNAMICS OF BIAXIAL NEMATICS FROM MOLECULAR-THEORY-BASED TENSOR MODELS

被引：4

作者：

Li, Sirui ^{[1
]}

Xu, Jie ^{[2
,3
]}

机构：

[1] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Peoples R China

[2] Chinese Acad Sci, LSEC, Beijing, Peoples R China

[3] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp ICMSEC, Acad Math & Syst Sci AMSS, NCMIS, Beijing, Peoples R China

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2023年 / 83卷 / 04期

关键词：

liquid crystals; biaxial nematic phase; hydrodynamics; Hilbert expansion; closure approximation; BENT-CORE MOLECULES; MACROSCOPIC THEORY; MICROSCOPIC THEORY; ELASTIC-CONSTANTS; ORDER PARAMETERS; LIQUID-CRYSTALS; WELL-POSEDNESS; SYMMETRY; PHASES; FLOW;

D O I：

10.1137/21M1465792

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from a dynamic tensor model about two second-order tensors, we derive the frame hydrodynamics for the biaxial nematic phase using the Hilbert expansion. The coefficients in the frame model are derived from those in the tensor model. The energy dissipation of the tensor model is maintained in the frame model. The model is reduced to the Ericksen-Leslie model if the biaxial bulk energy minimum of the tensor model is reduced to a uniaxial one.

引用

页码：1467 / 1495

页数：29

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