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<p>This paper studies the global regularity problem for the 2D micropolar Rayleigh-Bénard convection system with velocity critical (−Δ)<sup>1/2</sup> dissipation, micro-rotation velocity fractional (−Δ)<sup>5/6</sup> dissipation without temperature diffusion. By introducing three combined quantities, using the technique of Littlewood-Paley decomposition, and with the help of the Besov space, we establish the global regularity result of strong solutions to this system in the Sobolev space <i>H</i><sup><i>s</i></sup> (ℝ<sup>2</sup>) for <i>s</i> ≥ 2.</p>

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Global regularity for the 2D micropolar Rayleigh-Bénard convection system with velocity critical dissipation, lower micro-rotational dissipation and no temperature diffusion

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Baoquan Yuan,
  • Changhao Li

摘要

This paper studies the global regularity problem for the 2D micropolar Rayleigh-Bénard convection system with velocity critical (−Δ)1/2 dissipation, micro-rotation velocity fractional (−Δ)5/6 dissipation without temperature diffusion. By introducing three combined quantities, using the technique of Littlewood-Paley decomposition, and with the help of the Besov space, we establish the global regularity result of strong solutions to this system in the Sobolev space Hs (ℝ2) for s ≥ 2.