@Article{JPDE-36-1,
author = {Azanzal, Achraf and Chakir, Allalou and Said, Melliani and Adil, Abbassi},
title = {Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces},
journal = {Journal of Partial Differential Equations},
year = {2023},
volume = {36},
number = {1},
pages = {1--21},
abstract = {<p style="text-align: justify;">In this paper, we study the subcritical dissipative quasi-geostrophic equation. By using the Littlewood Paley theory, Fourier analysis and standard techniques we prove that there exists $v$ a unique global-in-time solution for small initial data belonging to the critical Fourier-Besov-Morrey spaces&nbsp; $ \mathcal{F} {\mathcal{N}}_{p, \lambda, q}^{3-2 \alpha+\frac{\lambda-2}{p}}$. Moreover, we show the asymptotic behavior of the global solution $v$. i.e., $\|v(t)\|_{ \mathcal{F} {\mathcal{N}}_{p, \lambda, q}^{3-2 \alpha+\frac{\lambda-2}{p}}}$ decays to zero as time goes to infinity.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n1.1},
url = {https://global-sci.com/article/88074/global-well-posedness-and-asymptotic-behavior-for-the-2d-subcritical-dissipative-quasi-geostrophic-equation-in-critical-fourier-besov-morrey-spaces}
}