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WELL-POSEDNESS FOR THE 3-D GENERALIZED MICROPOLAR FLUID SYSTEM IN CRITICAL FOURIER-BESOV-MORREY SPACES

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Abstract

In the present paper, we study the generalized Cauchy problem of the incompressible micropolar fluid system in \(\mathbb{R}^{3}.\) By using the Fourier localization argument and the Littlewood-Paley theory, we establish the local existence for large initial data and the global existence for small initial data in critical Fourier-Besov-Morrey spaces.

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Authors and Affiliations

  1. Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Beni Mellal, 23000, Morocco

    Fatima Ouidirne, Achraf Azanzal, Chakir Allalou & Mohamed Oukessou

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  1. Fatima Ouidirne
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  2. Achraf Azanzal
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  3. Chakir Allalou
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  4. Mohamed Oukessou
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All authors contributed equally to the writing of this paper. All authors read and approved the final manuscript.

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Correspondence to Chakir Allalou.

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Achraf Azanzal, Chakir Allalou, and Mohamed Oukessou are contributed equally to this work.

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Ouidirne, F., Azanzal, A., Allalou, C. et al. WELL-POSEDNESS FOR THE 3-D GENERALIZED MICROPOLAR FLUID SYSTEM IN CRITICAL FOURIER-BESOV-MORREY SPACES. J Math Sci 271, 482–496 (2023). https://doi.org/10.1007/s10958-023-06600-0

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