Abstract
We consider the global attractor of the critical surface quasi-geostrophic (SQG) semigroup S(t) on the scale-invariant space . It was shown in [] that this attractor is finite dimensional, and that it attracts uniformly bounded sets in for any , leaving open the question of uniform attraction in . In this paper we prove the uniform attraction in , by combining ideas from the De Giorgi iteration and nonlinear maximum principles.
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