Global solution of anisotropic Quasi-Geostrophic Equations in Sobolev Space
| Autor: | Amara, Mustapha, Benameur, Jamel |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | In \cite{YZ}, the author proved the global existence of the two-dimensional anisotropic quasi-geostrophic equations with condition on the parameters $\alpha,$ $\beta$ in the Sobolev spaces $H^s( \R^2)$; $s\geq 2$. In this paper, we show that this equations has a global solution in the spaces $H^s(\R^2)$, where $\max\{2-2\alpha,2-2\beta\}< s<2$, with additional condition over $\alpha$ and $\beta$. The proof is based on the Gevrey-class regularity of the solution in neighborhood of zero. Comment: 14 pages |
| Databáze: | arXiv |
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