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WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS

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【Author】 Fan YANG;Congming LI;School of Mathematical Sciences,CMA-Shanghai,Shanghai Jiao Tong University;

【通讯作者】李从明;

【机构】 School of Mathematical Sciences,CMA-Shanghai,Shanghai Jiao Tong University；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 analysis of parabolic and elliptic types； weak-strong uniqueness； active liquid crystals； weak solution； energy equality；
【Key words】 analysis of parabolic and elliptic types； weak-strong uniqueness； active liquid crystals； weak solution； energy equality；

【基金】 partially supported by NSFC (11831003,12031012);the Institute of Modern Analysis-A Frontier Research Center of Shanghai

【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2024年04期

【分类号】O35
【下载频次】1

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