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This is a remark that by using an adaptation of the technique invented by A.Kiselev, F. Nazarov, and A. Voldberg, with a modified scaling argument, we canprove global regularity of the critical 2-D dissipative quasi-geostrophicequation with smooth periodic force, under the assumption that the initial datais smooth and periodic, and the force is $\alpha$-H\"older continuous in space,$\alpha > 0$.

Global regularity for the critical 2-D dissipative quasi-geostrophic equation with force