三维全可压缩磁流体力学方程的大时间行为
The Large Time Behavior for 3D Full Compressible Magnetohydrodynamic Flows
摘要: 本文主要研究可压缩三维全可压缩磁流体力学的大时间行为，该结论是在以初始质量很小为前提的强解的条件下，得到可方程的大时间行为。根据三维Navier-Stokes方程大时间行为的研究，我们用相同的方法得到结论。我们的结论在无穷远处可能有大的震荡并且包含真空状态。
Abstract: This paper mainly studies the large time behavior of compressible three-dimensional fully compressible magnetohydrodynamics. The conclusion is that the large time behavior of the equation can be obtained under the condition of strong solution with small initial mass. According to the study of the large time behavior of the three-dimensional Navier-Stokes equation, we use the same method to get the conclusion. Our conclusion is that there may be large oscillations at infinity and contain the vacuum state.
文章引用：张馨. 三维全可压缩磁流体力学方程的大时间行为[J]. 理论数学, 2024, 14(6): 21-26. https://doi.org/10.12677/pm.2024.146223

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