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- W2964003412 abstract "We consider the initial value problem for the fractionally dissipative quasi-geostrophic equation @t +R ? r + = 0; ( ; 0) = 0 on T 2 = (0; 1) 2 , with 2 (0; 1). The coefficient in front of the dissipative term = ( ) = 2 is normalized to 1. We show that given a smooth initial datum withk 0k = 2 L2 k 0k 1 = 2 _ H2 R, where R is arbitrarily large, there exists 1 = 1(R)2 (0; 1) such that for 1, the solution of the supercritical SQG equation with dissipation does not blow up in finite time. The main ingredient in the proof is a new concise proof of eventual regularity for the supercritical SQG equation, that relies solely on nonlinear lower bounds for the fractional Laplacian and the maximum principle." @default.
- W2964003412 created "2019-07-30" @default.
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- W2964003412 date "2016-01-01" @default.
- W2964003412 modified "2023-10-02" @default.
- W2964003412 title "On the global regularity for the supercritical SQG equation" @default.
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- W2964003412 doi "https://doi.org/10.1512/iumj.2016.65.5807" @default.
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