关于具真空的二维密度依赖磁流体方程柯西问题的局部强解
偏微分方程分析
2015-06-17 v1
摘要
本文研究整个二维(2D)空间上以真空为远场密度的非齐次不可压缩磁流体动力学(MHD)方程的柯西问题。特别地，初始密度可具有紧支集。我们证明了若初始密度与初始磁场在无穷远处衰减不太慢，则该非齐次不可压缩MHD方程的2D柯西问题存在唯一的局部强解。
引用
@article{arxiv.1506.02156,
title = {On Local Strong Solutions to the Cauchy Problem of Two-Dimensional Density-Dependent Magnetohydrodynamic Equations with Vacuum},
author = {Boqiang Lv and Zhonghai Xu and Xin Zhong},
journal= {arXiv preprint arXiv:1506.02156},
year = {2015}
}
备注
22 pages. arXiv admin note: text overlap with arXiv:1306.4752 by other authors