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Abstract <p>We focus on the Cauchy problem of the three-dimensional fractional magneto-micropolar equations in this paper. For small initial data, we prove the global well-posedness result in variable exponent Fourier–Besov Spaces. Our method relies on the main tools such as the Littlewood–Paley decomposition and the Fourier-localization method. Moreover, we obtain the Gevrey class regularity and time decay rate estimate of the solution.</p>

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Global Well-Posedness for the Fractional Magneto-Micropolar Equations in Variable Exponent Fourier–Besov Spaces

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Xiaochun Sun,
  • Ruohong Ma,
  • Fengjuan Li

摘要

Abstract

We focus on the Cauchy problem of the three-dimensional fractional magneto-micropolar equations in this paper. For small initial data, we prove the global well-posedness result in variable exponent Fourier–Besov Spaces. Our method relies on the main tools such as the Littlewood–Paley decomposition and the Fourier-localization method. Moreover, we obtain the Gevrey class regularity and time decay rate estimate of the solution.