In this paper we study the incompressible inviscid limit of the full magnetohydrodynamic flows on expanding domains with general initial data. By applying the relative energy method and carrying out detailed analysis on the oscillation part of the velocity, we prove rigorously that the gradient part of the weak solutions of the full magnetohydrodynamic flows converges to the strong solution of the incompressible Euler system in the whole space, as the Mach number, viscosity as well as the heat conductivity go to zero and the domains expand to the whole space. Furthermore, we obtain the convergence rate.

中文翻译：

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扩展域上全磁流体动力流动的不可压缩无粘性极限

在本文中，我们使用一般初始数据研究了扩展域上完整磁流体动力学流动的不可压缩无粘性极限。通过应用相对能量法，对速度的振荡部分进行详细分析，我们严格证明了全磁流体动力流弱解的梯度部分在整个空间收敛于不可压缩欧拉系统的强解，随着马赫数、粘度和热导率变为零，域扩展到整个空间。此外，我们获得了收敛速度。