WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS

doi:10.1007/s10473-024-0413-7

Abstract

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 $\mathbb{R}^3$. 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.

Key words: analysis of parabolic and elliptic types, weak-strong uniqueness, active liquid crystals, weak solution, energy equality

CLC Number:

35A02

Fan YANG, Congming LI. WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS[J].Acta mathematica scientia,Series B, 2024, 44(4): 1415-1440.

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