WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS  

作　　者：Fan YANG Congming LI 杨帆;李从明(School of Mathematical Sciences,CMA-Shanghai,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]School of Mathematical Sciences,CMA-Shanghai,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Acta Mathematica Scientia》2024年第4期1415-1440,共26页数学物理学报（B辑英文版）

基　　金：partially supported by NSFC(11831003,12031012);the Institute of Modern Analysis-A Frontier Research Center of Shanghai。

摘　　要：The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models.In this paper,we study the weak-strong uniqueness for the Leray-Hopf type weak solutions to the incompressible active liquid crystals in R^(3).Our results yield that if there exists a strong solution,then it is unique among the Leray-Hopf type weak solutions associated with the same initial data.

关 键 词：analysis of parabolic and elliptic types weak-strong uniqueness active liquid crystals weak solution energy equality 

分 类 号：O35[理学—流体力学]