Remarks on global regularity of 2D generalized MHD equations
| Autor: | Yuan, Baoquan, Bai, Linna |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of mathematical Analysis and Applications 413(2014) 633-640 |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we investigate the global regularity of 2D generalized MHD equations, in which the dissipation term and magnetic diffusion term are $\nu(-\Delta)^\alpha u$ and $\eta (-\Delta)^\beta b$ respectively. Let $(u_{0}, b_{0})\in H^{s}$ with $s\geq2$, it is showed that the smooth solution $(u(x,t),b(x,t))$ is globally regular for the case $ 0\leq\alpha\leq\{1}{2}, \alpha+\beta > \{3}{2}$. |
| Databáze: | arXiv |
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