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arXiv · 2511.00484

Global weak solutions and incompressible limit to the isentropic compressible magnetohydrodynamic equations in 2D bounded domains with ripped density and large initial data

Shuai Wang·Guochun Wu·Xin Zhong
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Abstract

In our previous work (arXiv:2510.00812), we have shown the global existence and incompressible limit of weak solutions to the isentropic compressible magnetohydrodynamic equations involving ripped density and large initial energy in the whole plane. In this paper we generalize such results to the case of two-dimensional bounded convex domains under Navier-slip boundary conditions. When comparing to the known results for global solutions of the initial-boundary value problem, we obtain uniform a priori estimates independent of the bulk viscosity coefficient.

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Shuai Wang, Guochun Wu, Xin Zhong. 2025-11-01. Global weak solutions and incompressible limit to the isentropic compressible magnetohydrodynamic equations in 2D bounded domains with ripped density and large initial data. https://arxiv.org/abs/2511.00484

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