45 citations · 101 across the 27 of their papers we have counts for
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math.AP2015
Smooth attractors for weak solutions of the SQG equation with critical dissipation
Michele Coti Zelati, Piotr Kalita
We consider the evolution of weak vanishing viscosity solutions to the critically dissipative surface quasi-geostrophic equation. Due to the possible non-uniqueness of solutions, w…
math.AP2015
Long time behavior and critical limit of subcritical SQG equations in scale-invariant Sobolev spaces
Michele Coti Zelati
We consider the subcritical SQG equation in its natural scale invariant Sobolev space and prove the existence of a global attractor of optimal regularity. The proof is based on a n…
math.AP2015★ 27 cited
Uniformly attracting limit sets for the critically dissipative SQG equation
Peter Constantin, Michele Coti Zelati, Vlad Vicol
We consider the global attractor of the critical SQG semigroup on the scale-invariant space . It was shown in~\cite{CTV13} that this attractor is finite d…