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|Abstract:||We consider the global attractor of the critical surface quasi-geostrophic (SQG) semigroup S ( t ) on the scale-invariant space () T H 12 . It was shown in [ 15 ] that this attractor is finite dimensional, and that it attracts uniformly bounded sets in () δ + T H 12 for any δ > 0 , leaving open the question of uniform attraction in () T H 12 . In this paper we prove the uniform attraction in () T H 12 , by combining ideas from the De Giorgi iteration and nonlinear maximum principles.|
|Electronic Publication Date:||13-Jan-2016|
|Citation:||Constantin, Peter, Zelati, Michele Coti, Vicol, Vlad. (2016). Uniformly attracting limit sets for the critically dissipative SQG equation. NONLINEARITY, 29 (298 - 318. doi:10.1088/0951-7715/29/2/298|
|Pages:||298 - 318|
|Type of Material:||Journal Article|
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