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Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow

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Abstract

In this paper, we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions for the three-dimensional compressible nematic liquid crystal flow in the periodic domain.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Zhong Tan & Hui Yang

  2. Shenzhen Research Institute of Xiamen University, Shenzhen, 518057, China

    Zhong Tan

  3. School of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, China

    Xinliang Li

  4. College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, 518060, China

    Xinliang Li

Authors
  1. Zhong Tan
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  2. Xinliang Li
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  3. Hui Yang
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Correspondence to Hui Yang.

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Conflict of Interest The authors declare no conflict of interest.

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Tan’s research was support by the NSFC (12071391, 12231016) and the Guangdong Basic and Applied Basic Research Foundation (2022A1515010860). Li’s research was support by the China Postdoctoral Science Foundation (2023M742401).

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Tan, Z., Li, X. & Yang, H. Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow. Acta Math Sci 44, 851–864 (2024). https://doi.org/10.1007/s10473-024-0305-x

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  • DOI: https://doi.org/10.1007/s10473-024-0305-x

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