Remarks on global regularity of 2D generalized MHD equations

Baoquan Yuan; Linna Bai

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arXiv · 1306.2190

Remarks on global regularity of 2D generalized MHD equations

Baoquan Yuan·Linna Bai

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Abstract

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}$.

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Baoquan Yuan, Linna Bai. 2013-06-10. Remarks on global regularity of 2D generalized MHD equations. https://arxiv.org/abs/1306.2190

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