Global weak solutions of 3D compressible MHD with large external potential forces and discontinuous initial data and vacuum
偏微分方程分析
2025-12-23 v2
摘要
我们研究受大型外部势力作用、初始数据不连续且可能包含真空状态的三维有界域内的可压缩磁流体动力学方程。我们在 Navier-slip 边界条件下，证明在初始能量适当小的前提下，该初值边值问题存在全局弱解。为克服边界和大型外部力造成的困难，我们基于有效粘性通量构建了若干新估计。
引用
@article{arxiv.2512.16121,
title = {Global weak solutions of 3D compressible magnetohydrodynamic equations subject to large external potential forces with discontinuous initial data and vacuum},
author = {Geyuan Chen and Xin Zhong},
journal= {arXiv preprint arXiv:2512.16121},
year = {2025}
}