A remark on blow-up criterion for 3D compressible magnetohydrodynamic flows with vacuum

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• 作者：Yujun Liuup>aup>up> ; up>up>bup> ; Tong Tangup>cup> ; Shan Liup> ; up>up>dup>up> ; up>up>lishan@scu.edu.cn" class="auth_mail" title="E-mail the corresponding authorup>
• 关键词：Compressible magnetohydrodynamic flows ; Blow-up criterion ; Strong solution
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：290
• 期：Complete
• 页码：189-200
• 全文大小：421 K

文摘

In this paper, we concerned a blowup criterion of strong solutions for 3D viscous, compressible magnetohydrodynamic(MHD) flows with vacuum. We proved that any strong solutions of viscous, compressible MHD fluids will blow up in finite time if for some 1 < s   < ∞ large enough, and $\frac{24}{5}\le l\le \infty ,$ provided that the viscosity coefficients satisfy 3μ > λ. This work is motivated by the recent works of Wang and Li (2014) and Yu (2013) on blow up criterion for 3D MHD flows.