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- W2949978930 abstract "This article is devoted to the study of the critical dissipative surface quasi-geostrophic $(SQG)$ equation in $mathbb{R}^2$. For any initial data $theta_{0}$ belonging to the space $Lambda^{s} ( H^{s}_{uloc}(mathbb{R}^2)) cap L^infty(mathbb{R}^2)$, we show that the critical (SQG) equation has at least one global weak solution in time for all $1/4leq s leq 1/2$ and at least one local weak solution in time for all $0<s<1/4$. The proof for the global existence is based on a new energy inequality which improves the one obtain in cite{Laz} whereas the local existence uses more refined energy estimates based on Besov space techniques." @default.
- W2949978930 created "2019-06-27" @default.
- W2949978930 creator A5070145769 @default.
- W2949978930 date "2013-08-04" @default.
- W2949978930 modified "2023-09-25" @default.
- W2949978930 title "Global and local existence for the dissipative critical SQG equation with small oscillations" @default.
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- W2949978930 hasPublicationYear "2013" @default.
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