This focuses on the large time behavior of the solution to the IVP of the 2D fully dissipative magnetohydrodynamics system. We first compute the decay rates of the solutions, then, we show that these rates are sharp. Moreover, the explicit asymptotic profiles are identified. It turns out that these profiles resemble the Oseen vortices.

中文翻译：

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二维全耗散磁流体动力学系统的最佳衰减率和全局吸引子

这侧重于二维完全耗散磁流体动力学系统的 IVP 解的长时间行为。我们首先计算解的衰减率，然后我们证明这些衰减率是陡峭的。此外，确定了显式渐近轮廓。事实证明，这些剖面类似于 Oseen 涡旋。