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Well-Posedness in Variable-Exponent Function Spaces for the Three-Dimensional Micropolar Fluid Equations

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  • Muhammad Zainul Abidin
  • Muhammad Marwan
  • Naeem Ullah
  • Ahmed Mohamed Zidan
  • Yongqiang Fu

Abstract

In this paper, we work on the Cauchy problem of the three-dimensional micropolar fluid equations. For small initial data, in the variable-exponent Fourier–Besov spaces, we achieve the global well-posedness result. The Littlewood–Paley decomposition method and the Fourier-localization technique are main tools to obtain the results. Moreover, the results discussed in our work show the Gevrey class regularity of solution to the Cauchy problem of micropolar fluid equations.

Suggested Citation

  • Muhammad Zainul Abidin & Muhammad Marwan & Naeem Ullah & Ahmed Mohamed Zidan & Yongqiang Fu, 2023. "Well-Posedness in Variable-Exponent Function Spaces for the Three-Dimensional Micropolar Fluid Equations," Journal of Mathematics, Hindawi, vol. 2023, pages 1-11, December.
    • Handle: RePEc:hin:jjmath:4083997
    DOI: 10.1155/2023/4083997
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