Asymptotic limit of non-isentropic compressible magnetohydrodynamic equations for rotating completely ionized gases

In this article, we investigate a singular limit problem for the non-isentropic magnetohydrodynamic rotation equations in an infinite slab without magnetic diffusivity. We consider the case of completely ionized gases, where both the Rossby and Mach numbers approach zero simultaneously under ill-prepared initial conditions. The limiting system resembles the two-dimensional incompressible magnetohydrodynamic equations. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.