三维可压缩磁流体力学方程弱解的能量守恒
偏微分方程分析
2019-06-26 v1
摘要
本文在某些仅关于密度与速度的条件下,证明了三维可压缩磁流体力学流动方程(magnetohydrodynamic flows, MHD)弱解的能量守恒。该工作受 Yu [27] 关于可压缩 Navier-Stokes 方程能量守恒的开创性工作启发。我们的结果表明,即便考虑磁场,也仅需如 [27] 中密度与速度的某些正则性条件即可保证能量守恒。
引用
@article{arxiv.1906.10371,
title = {Energy conservation for the weak solutions to the equations of compressible magnetohydrodynamic flows in three dimensions},
author = {Tingsheng Wang and Xinhua Zhao and Yingshan Chen and Mei Zhang},
journal= {arXiv preprint arXiv:1906.10371},
year = {2019}
}