| 磁流体力学方程组的激波生成 |
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| 引用本文： | 董黎明,史一蓬. 磁流体力学方程组的激波生成[J]. 应用数学和力学, 2001, 22(9): 959-968 |
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| 作者姓名： | 董黎明 史一蓬 |
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| 作者单位： | 1.华东理工大学应用数学系, 上海200237; |
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| 摘 要： | 研究磁流体横向流动的一维模型,在解的强间断出现后流场的性质。利用迭代法具体构造了该方程组的强间断—激波以及问题的熵解。同时,利用激波的性质,给出了各物理参量在爆破点附近的奇性估计。
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| 关 键 词： | 磁流体横向流动 激波生成 熵解 |
| 文章编号： | 10000887(2001)10095910 |
| 收稿时间： | 2000-03-08 |
| 修稿时间： | 2000-03-08 |
The Formation of Shock Waves of the Equations of Magnetohydrodynamics |
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| DONG Li_ming ,SHI Yi_peng. The Formation of Shock Waves of the Equations of Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 959-968 |
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| Authors: | DONG Li_ming SHI Yi_peng |
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| Affiliation: | 1.Department of Applied Mathematics, East-China University of Science and Technology, Shanghai 200237, P R China;2.Institute of Mathematics, Fudan University, Shanghai 200433, P R China |
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| Abstract: | The property of fluid field of one_dimensional magnetohydrodynamics(MHD) transverse flow after the appearance of singularity is discussed. By the method of iteration, the strong discontinuity (shock wave) and entropy solution are constructed and the estimations on the singularity of the solution near the point of blow_up are obtained. |
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| Keywords: | MHD transverse flow shock wave entropy solutions |
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