Quasi-geostrophic equation in ${\mathbb{R}}^2$

Tomasz Dlotko, Maria B. Kania, Chunyou Sun

Solvability of Cauchy's problem in ${\mathbb{R}}^2$ for subcritical quasi-geostrophic equation is discussed here in two phase spaces; $L^p({\mathbb{R}}^2)$ with $p>\frac{2}{2\alpha -1}$ and…