ABSTRACT

In this paper, we study the singular limit of three-dimensional nonisentropic compressible ideal MHD equations with horizontal boundary conditions. It is rigorously justified that, when the Mach number and Alfvén number are same and tend to zero, the solution of original equations converges to that of two-dimensional incompressible flow.

中文翻译：

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有界域中非等熵可压缩理想MHD方程的奇异极限

摘要

在本文中，我们研究了具有水平边界条件的三维非等熵可压缩理想MHD方程的奇异极限。严格证明，当马赫数和阿尔文数相同且趋于零时，原方程组的解收敛于二维不可压缩流的解。