On regularity criterion to the 3D axisymmetric incompressible MHD equations

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• 作者：Jitao Liu
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：39
• 期：15
• 页码：4535-4544
• 全文大小：191K
• ISSN：1099-1476

文摘

This paper is concerned with the regularity criterion for a class of axisymmetric solutions to 3D incompressible magnetohydrodynamic equations. More precisely, for the solutions that have the form of u = u_re_r+u_θe_θ+u_ze_z and b = b_θe_θ, we prove that if |ru(x,t)|≤C holds for −1≤t < 0, then (u,b) is regular at time zero. This result can be thought as a generalization of recent results in for the 3D incompressible Navier-Stokes equations. Copyright