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Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows

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Abstract

The recent paper considers a hydrodynamic flow of compressible biaxial nematic liquid crystal in dimension one. For initial density without vacuum states, we obtain both existence and uniqueness of global classical solutions. While for initial density with possible vacuum states, both the existence and uniqueness of global strong solutions are given.

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Acknowledgements

The second author is partially supported by NSF of China (No.11571117).

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  1. Department of Mathematics, South China University of Technology, Guangzhou, 510641, Guangdong, China

    Ling Zhu & Junyu Lin

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  1. Ling Zhu
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  2. Junyu Lin
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Correspondence to Junyu Lin.

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Zhu, L., Lin, J. Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows. Z. Angew. Math. Phys. 73, 37 (2022). https://doi.org/10.1007/s00033-021-01670-z

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  • DOI: https://doi.org/10.1007/s00033-021-01670-z

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