Decay estimates of the smooth solution to the compressible magnetohydrodynamic equations on T3

Decay estimates of the smooth solution to the compressible magnetohydrodynamic equations on T3
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T3 上可压缩磁流体动力学方程光滑解的衰减估计

DOI:
10.1016/j.jde.2021.04.010
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发表时间:
2021-07
影响因子:
2.4
通讯作者:
Zi Ruizhao
Zi Ruizhao
中科院分区:
数学2区
文献类型:
--
作者:
Zhu Limei;Zi Ruizhao

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考虑T3上可压缩MHD系统光滑解的时间衰减率.结果表明,若密度ρ上下一致有界,磁场H的L6范数一致有界,则可压缩MHD系统光滑解的所有导数均以指数速度衰减到平衡点.此外,我们构造了一个整体光滑的解决方案,服从这些衰减率的小能量,但可能大的振荡。
Consider the time decay rates of the smooth solution to the compressible MHD system on T 3. It is shown that if the density ρ is uniformly bounded from up and below, and the L 6 norm of the magnetic H is uniformly bounded, then all derivatives of the smooth solution to the compressible MHD system decay exponentially fast to the equilibrium. Furthermore, we construct a global smooth solution obeying these decay rates with small energy but possibly large oscillations.
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