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Strong Solutions to the Density-Dependent Incompressible Nematic Liquid Crystal Flows with Heat Effect

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Abstract

In this paper, for the incompressible nematic liquid crystal flows with heat effect and density-dependent viscosity coefficient in three-dimensional bounded domain, by using the elliptic regularity result of the Stokes equations and the linearization and iteration method, we investigate the local existence and uniqueness of strong solutions.

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Authors and Affiliations

  1. School of Science, Northeastern University, Shenyang, 110819, China

    Xiaopeng Zhao

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, China

    Mingxuan Zhu

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  1. Xiaopeng Zhao
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  2. Mingxuan Zhu
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Correspondence to Mingxuan Zhu.

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Communicated by Yong Zhou.

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Zhao, X., Zhu, M. Strong Solutions to the Density-Dependent Incompressible Nematic Liquid Crystal Flows with Heat Effect . Bull. Malays. Math. Sci. Soc. 44, 1579–1611 (2021). https://doi.org/10.1007/s40840-020-01026-2

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  • DOI: https://doi.org/10.1007/s40840-020-01026-2

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