Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces  

作　　者：AZANZAL Achraf ALLALOU Chakir MELLIANI Said ABBASSI Adil 

机构地区：[1]Laboratory LMACS,FST of Beni Mellal,Sultan Moulay Slimane University,Morocco

出　　处：《Journal of Partial Differential Equations》2023年第1期1-21,共21页偏微分方程（英文版）

摘　　要：In this paper,we study the subcritical dissipative quasi-geostrophic equa-tion.By using the Littlewood Paley theory,Fourier analysis and standard techniques we prove that there exists a unique global-in-time solution for small initial data belonging to the critical Fourier-Besov-Morrey spaces FN^(3-2a+(λ-2)/p)_(p,λ,q).Moreover,we show the asymptotic behavior of the global solution v.i.e.||v(t)||FN^(3-2a+(λ-2)/p)_(p,λ,q)decays to zero as time goes to infinity.

关 键 词：2D quasi-geostrophic equation subcritical dissipation Littlewood-Paley theory global well-posedness long time behavior of the solution Fourier-Besov-Morrey spaces 

分 类 号：O175.27[理学—数学]