Abstract
Existence is proved for dissipative subcritical 2D quasi-geostrophic flows with a specific pointwise behavior in space-time. First we treat flows with small initial data, employing only elementary estimates for convolution integrals. Our results extend those proved in [7] and [12] for 2D Navier–Stokes flows. We then prove the specific space-time behavior mentioned above is also interpreted in a framework of Lp-like function spaces with 2/3 ≤ p ≤ ∞.
