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| 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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吴仁超
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数理学院
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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. |
| 关键词: 磁流体方程 稳态解 光滑解 能量估计 |
| DOI： |
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| Stationary solution of the compressible magnetohydrodynamic equation and its stability with respect to initial disturbance |
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WU Renchao
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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. |
| Key words: Magnetohydrodynamicequations stationary solutions smooth solutions energy estimate |
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