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 ℝ3. 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.
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Conflict of Interest The authors declare no conflict of interest.
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This work was partially supported by NSFC (11831003, 12031012) and the Institute of Modern Analysis-A Frontier Research Center of Shanghai.
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Yang, F., Li, C. Weak-strong uniqueness for three dimensional incompressible active liquid crystals. Acta Math Sci 44, 1415–1440 (2024). https://doi.org/10.1007/s10473-024-0413-7
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DOI: https://doi.org/10.1007/s10473-024-0413-7
Key words
- analysis of parabolic and elliptic types
- weak-strong uniqueness
- active liquid crystals
- weak solution
- energy equality