Well-posedness and analyticity for the viscous primitive equations of geophysics in critical Fourier-Besov-Morrey Spaces with variable exponents

	Well-posedness and analyticity for the viscous primitive equations of geophysics in critical Fourier-Besov-Morrey Spaces with variable exponents
International Journal of Nonlinear Analysis and Applications
مقاله 228، دوره 14، شماره 1، فروردین 2023، صفحه 2915-2929 اصل مقاله (476.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27529.3644
نویسندگان
Fatima Ouidirne؛ Achraf Azanzal^* ؛ Chakir Allalou؛ Mohamed Oukessou
Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco
چکیده
In this paper, we establish the global well-posedness result of the viscous primitive equations of geophysics in the critical Fourier-Besov-Morrey space with variable exponents $\mathcal{F \dot{N}}_{p(\cdot),k(\cdot),q}^{2-\frac{3}{p(\cdot)}}(\mathbb{R}^{3}),$ when the initial data are small and Pandtl number $P=1,$ we also show the Gevrey class regularity of the solution.
کلیدواژه‌ها
Fourier-Besov-Morrey spaces with variable exponents؛ viscous primitive equations of geophysics؛ global well-posedness؛ Gevrey class regularity
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