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<p>In this paper, we prove a new Liouville-type theorem for the 3D stationary magneto-micropolar fluid equations. By using a refined iteration argument, we prove that the solutions (<i>u,ω,b</i>) are trivial when the tensor-valued functions for the velocity field, the micro-rotational velocity, and the magnetic fields are imposed asymmetric oscillation growth conditions. The Liouville-type result holds for the MHD equations. Surprisingly, the conditions that we proposed on the MHD equations are significantly weaker than the recent result Cho et al. (2023). Moreover, our result includes the well-known result Kim-Ko (2024) as particular case.</p>

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A Liouville-type Theorem for the Stationary Magneto-micropolar Fluid Equations

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Qian Zu,
  • Hui Zhang

摘要

In this paper, we prove a new Liouville-type theorem for the 3D stationary magneto-micropolar fluid equations. By using a refined iteration argument, we prove that the solutions (u,ω,b) are trivial when the tensor-valued functions for the velocity field, the micro-rotational velocity, and the magnetic fields are imposed asymmetric oscillation growth conditions. The Liouville-type result holds for the MHD equations. Surprisingly, the conditions that we proposed on the MHD equations are significantly weaker than the recent result Cho et al. (2023). Moreover, our result includes the well-known result Kim-Ko (2024) as particular case.