Geodesic
Well-posedness for the 3-D generalized micropolar system in critical Fourier–Besov–Morrey spaces
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 891-907

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DOI

In this article, we focus on the Cauchy problem of the three-dimensional generalized incompressible micropolar system in critical Fourier–Besov–Morrey spaces. By using the Fourier localization argument and the Littlewood–Paley theory, we get the local well-posedness results and global well-posedness results with small initial data belonging to the critical Fourier–Besov–Morrey spaces.
DOI : 10.4153/S0008439525000207
Mots-clés : Generalized micropolar system, global well-posedness, Fourier–Besov–Morrey space 
Gao, Peng; Yuan, Baoquan; Zhai, Tiantian. Well-posedness for the 3-D generalized micropolar system in critical Fourier–Besov–Morrey spaces. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 891-907. doi: 10.4153/S0008439525000207
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     author = {Gao, Peng and Yuan, Baoquan and Zhai, Tiantian},
     title = {Well-posedness for the {3-D} generalized micropolar system in critical {Fourier{\textendash}Besov{\textendash}Morrey} spaces},
     journal = {Canadian mathematical bulletin},
     pages = {891--907},
     year = {2025},
     volume = {68},
     number = {3},
     doi = {10.4153/S0008439525000207},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000207/}
}
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