In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the global regularity of classical solutions of the magnetohydrodynamics equations with the minimal dissipation. Consequently, our results significantly improve the previous works.

中文翻译：

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二维正则化MHD方程的全局正则性

在本文中，我们考虑二维正则化不可压缩磁流体动力学方程的柯西问题。本文的主要目的是建立具有最小耗散的磁流体动力学方程经典解的全局规律。因此，我们的结果显着改善了以前的工作。