Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system

Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system
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从电磁流体系统严格推导可压缩磁流体动力学方程

DOI:
10.1088/0951-7715/25/6/1735
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发表时间:
2012-06
期刊:
影响因子:
1.7
通讯作者:
Li, Fucai
Li, Fucai
中科院分区:
数学2区
文献类型:
--
作者:
Jiang, Song;Li, Fucai

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当介电常数趋于零时,可压缩磁流体动力学方程可以从描述电磁动力学的方程导出。在初始数据准备充分的假设下,我们通过采用复杂的非线性能量方法严格证明了该奇异极限的合理性,以便在三个维度上平滑地求解电磁流体系统。
The compressible magnetohydrodynamic equations can be derived from the equations describing electromagnetic dynamics as the dielectric constant tends to zero. Under the assumption that the initial data are well prepared, we justify this singular limit rigorously for smooth solutions to the electromagnetic fluid system in three dimensions by employing an elaborate nonlinear energy method.
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发表时间: 1984-12
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