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- W4300787966 abstract "In this paper, we study the sub-critical dissipative quasi-geostrophic equations $({bf S}_alpha)$. We prove that there exists a unique local-in-time solution for any large initial data $theta_0$ in the space ${bf{mathcal X}}^{1-2alpha}(mathbb R^2)$ defined by (ref{ec}). Moreover we show that $({bf S}_alpha)$ has a global solution in time if the norms of the initial data in ${bf{mathcal X}}^{1-2alpha}(mathbb R^2)$ are bounded by $1/4$. Also, we prove a blow-up criterion of the non global solution of $({bf S}_alpha)$." @default.
- W4300787966 created "2022-10-04" @default.
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- W4300787966 date "2014-08-23" @default.
- W4300787966 modified "2023-09-26" @default.
- W4300787966 title "Global existence of the two-dimensional QGE with sub-critical dissipation" @default.
- W4300787966 doi "https://doi.org/10.48550/arxiv.1408.5499" @default.
- W4300787966 hasPublicationYear "2014" @default.
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