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• W2952802072 abstract "We review some recent results for a class of fluid mechanics equations called active scalars, with fractional dissipation. Our main examples are the surface quasi-geostrophic equation, the Burgers equation, and the Cordoba-Cordoba-Fontelos model. We discuss nonlocal maximum principle methods which allow to prove existence of global regular solutions for the critical dissipation. We also recall what is known about the possibility of finite time blow up in the supercritical regime." @default.
• W2952802072 created "2019-06-27" @default.
• W2952802072 creator A5037975226 @default.
• W2952802072 date "2010-09-02" @default.
• W2952802072 modified "2023-09-27" @default.
• W2952802072 title "Regularity and blow up for active scalars" @default.
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• W2952802072 hasPublicationYear "2010" @default.
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