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Global Well-Posedness for a 1-D Compressible Non-isothermal Model for Nematic Liquid Crystals

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Abstract

In this paper, we prove global well-posedness of strong solutions to a 1-D compressible non-isothermal model for nematic liquid crystals, provided that the initial datum satisfies a natural compatibility condition. The initial density may vanish in an open subset.

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Acknowledgements

The authors are grateful to the referees whose comments and suggestions greatly improved the presentation of this paper. Tong Tang is partially supported by NSFC Grant No. 11801138, the Fundamental Research Funds for the Central Universities 2017B14314. Moreover, the help and support from Institute of Mathematics of the Academy of the Czech Republic is gladly acknowledged during the stay of Tong Tang at Prague.

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Tang, T., Sun, J. Global Well-Posedness for a 1-D Compressible Non-isothermal Model for Nematic Liquid Crystals. Acta Appl Math 168, 217–233 (2020). https://doi.org/10.1007/s10440-019-00285-x

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