Abstract
We consider the long time behavior of solutions of dissipative quasi-geostrophic (DQG) flows with subcritical powers. The flow under consideration is described by the nonlinear scalar equation $$ \frac{\partial \theta}{\partial t} + u\cdot \nabla \theta + \kappa (-\triangle)^{\alpha}\theta =f, \quad\theta|_{t=0}=\theta_0. \nonumber $$ Rates of decay are obtained for both the solutions and higher derivatives in different Sobolev spaces.
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