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<p>This paper is concerned with 3D steady nematic liquid crystal flows. We prove some Liouville type results for incompressible nematic liquid crystal flows under some additional assumptions via Lorentz spaces and potential functions. When the fluid is allowed to be compressible, similar results are established just in terms of the velocity.</p>

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Remarks on Liouville type theorems for the steady nematic liquid crystal equations

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • Huiying Fan,
  • Wendong Wang

摘要

This paper is concerned with 3D steady nematic liquid crystal flows. We prove some Liouville type results for incompressible nematic liquid crystal flows under some additional assumptions via Lorentz spaces and potential functions. When the fluid is allowed to be compressible, similar results are established just in terms of the velocity.