Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces

Global solution of anisotropic quasi-geostrophic equations in Sobolev space

“…Additionally, we refer to our result in [2], where we established global regularity in H s (R 2 ), s > 2 − 2 min{α, β}, for α, β ∈ (1/2, 1) (see also [19]).…”