Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (3): 963-995.

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The Limit of Vanishing Shear Viscosity for Compressible Nematic Liquid Crystal Flows with Cylindrical Symmetry

Jinliang Tang1,2(), Xia Ye1,*()   

  1. 1 School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022
    2 2Shenzhen High School Guangming Science City School, Guangdong Shenzhen 518107
  • Received:2025-03-24 Revised:2026-01-19 Online:2026-06-26 Published:2026-06-16
  • Contact: Xia Ye E-mail:sundaytjl@126.com;yexia@jxnu.edu.cn
  • Supported by:
    NSFC(12461042);Jiangxi Province Key Subject Academic and Technical Leader Funding Project(20232BCJ23037);Natural Science Foundation of Jiangxi Province(20232BAB211001);Natural Science Foundation of Jiangxi Province(20242BAB25006)

Abstract:

This paper is concerned with compressible nematic liquid crystal flows with cylindrical symmetry. We prove the rate of convergence as the limit of vanishing shear viscosity, and we also establish the properties of the boundary layer function. Our results do not require the smallness of the initial data.

Key words: nematic liquid crystal flow, vanishing shear viscosity, optimal convergence efficiency, boundary layer.

CLC Number: 

  • O175.25
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