In this paper, we consider global axisymmetric smooth solutions for the Boussinesq equation for magnetohydrodynamics convection without magnetic diffusion and heat convection. We obtain that for axially symmetric initial data without any smallness restrictions, such a system admits global smooth axially symmetric solutions without swirl.

中文翻译：

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磁流体动力学对流Boussinesq方程的整体光滑轴对称解

在本文中，我们考虑了Boussinesq方程的整体轴对称光滑解，以解决无磁扩散和热对流的磁流体动力学对流问题。对于没有任何小限制的轴向对称初始数据，我们获得了这样的系统，它接受了没有涡旋的全局光滑轴向对称解。