| 可压缩磁流体动力学方程(MHD)稳态解的存在性及相对于初值扰动的稳定性 |
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| 引用本文： | 吴仁超. 可压缩磁流体动力学方程(MHD)稳态解的存在性及相对于初值扰动的稳定性[J]. 上海师范大学学报(自然科学版), 2016, 45(3): 355-377 |
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| 作者姓名： | 吴仁超 |
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| 摘 要： | 研究了有外力影响的三维可压缩粘性磁流体动力学方程(MHD) 解的存在性.首先推导出稳态解的存在性, 其次研究当稳态解相对于初值扰动时,方程整体解的存在性.
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| 关 键 词： | 磁流体方程 稳态解 光滑解 能量估计 |
| 收稿时间： | 2014-10-01 |
Stationary solution of the compressible magnetohydrodynamic equation and its stability with respect to initial disturbance |
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| WU Renchao. Stationary solution of the compressible magnetohydrodynamic equation and its stability with respect to initial disturbance[J]. Journal of Shanghai Normal University(Natural Sciences), 2016, 45(3): 355-377 |
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| Authors: | WU Renchao |
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| Affiliation: | College of Mathematics and Science, Shanghai Normal University |
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| Abstract: | In this paper, we consider three dimensional compressible viscous magnetohydro dynamic equations(MHD) with external potentialforce. We first derive the corresponding non-constantstationary solutions. Then we show global well-posedness of the initial value problem for the three dimensional compressible viscous magnetohydrodynamic equations, provided that rescribed initial data is close to the stationary solution. |
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| Keywords: | Magnetohydrodynamicequations stationary solutions smooth solutions energy estimate |
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