Well-posedness and analyticity for the viscous primitive equations of geophysics in critical Fourier-Besov-Morrey Spaces with variable exponents
نویسندگان
1 Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco
2 Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco
3 Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay slimane University, Morocco
4 Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco
doi
10.22075/ijnaa.2023.27529.3644چکیده
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.
