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• W2275417281 abstract "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, we rephrase the problem as a set-valued dynamical system and prove the existence of a global attractor of optimal Sobolev regularity. To achieve this, we derive a new Sobolev estimate involving Holder norms, which complement the existing estimates based on commutator analysis." @default.
• W2275417281 created "2016-06-24" @default.
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• W2275417281 date "2015-12-28" @default.
• W2275417281 modified "2023-10-16" @default.
• W2275417281 title "Smooth attractors for weak solutions of the SQG equation with critical dissipation" @default.
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