可压缩磁流体动力学方程组密度的上界估计
Upper Bound Estimation of Density for Compressible Magnetohydrodynamic Equations
DOI: 10.12677/AAM.2022.114211, PDF,   
作者: 贡曲杰：中央民族大学理学院，北京；王建国：北京建筑大学附属中学，北京
关键词: 可压缩磁流体动力学；整体适定性；真空；Compressible Magnetohydrodynamics； Global Well-Posedness； Vacuum
摘要: 本文证明了具有大初值的一维可压缩磁流体动力学(MHD)方程组的初边值问题的密度具有正上界。在无穷远处存在真空的情况下，利用精确的能量估计和方程结构可以得到方程组的密度具有正上界。
Abstract: In this paper, we prove that the density of the initial boundary value problem of one-dimensional compressible MHD equations with large initial values has a positive upper bound. In the case of vacuum at infinity, the density of the equations has a positive upper bound using accurate energy estimation and the structure of the equations.
文章引用：贡曲杰, 王建国. 可压缩磁流体动力学方程组密度的上界估计[J]. 应用数学进展, 2022, 11(4): 1945-1954. https://doi.org/10.12677/AAM.2022.114211

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