论文标题
全球经典解决方案，用于具有较大振荡和3D外部域中的全振荡和真空的完全可压缩磁性水力动力系统
Global Classical Solutions to Full Compressible Magnetohydrodynamic System with Large Oscillations and Vacuum in 3D Exterior Domains
论文作者
论文摘要
研究了三维外部结构域中的完整可压缩磁流体动力系统。对于该系统的初始界值问题，速度具有滑动边界条件，对于温度的绝热，对于磁场的绝热，在初始数据的条件下，确定了经典解决方案的全球存在和古典解决方案的独特性，但最初的数据是较小的能量，但可能是较大的振荡。特别是，初始密度和温度都可以消失。此外，还获得了经典解决方案的大型行为。
The full compressible magnetohydrodynamic system in three-dimensional exterior domains is investigated. For the initial-boundary-value problem of this system with slip boundary condition for the velocity, adiabatic one for the temperature, and perfect one for the magnetic field, the global existence and uniqueness of classical solutions is established, under the condition that the initial data are of small energy but possibly large oscillations. In particular,the initial density and temperature are both allowed to vanish. Moreover, the large-time behavior of the classical solutions is also obtained.
