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Weak-strong uniqueness for three dimensional incompressible active liquid crystals

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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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Authors and Affiliations

  1. School of Mathematical Sciences, CMA-Shanghai, Shanghai Jiao Tong University, Shanghai, 200240, China

    Fan Yang & Congming Li

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  1. Fan Yang
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  2. Congming Li
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Correspondence to Congming Li.

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Conflict of Interest The authors declare no conflict of interest.

Additional information

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

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