Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation

Abstract

The initial value problem for the two dimensional dissipative quasi-geostrophic equation of the critical and the supercritical cases is considered. Anomalous diffusion on this equation provides slow decay of solutions as the spatial parameter tends to infinity. In this paper, uniform estimates for far field asymptotics of solutions are given.

9 pages

References in corpus (4)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Eventual regularization for the slightly supercritical quasi-geostrophic equation
• Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the super-critical dissipation