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| 2-维磁流体议程组整体经典解 | |
| 引用本文： | 刘法贵,李红,史一蓬.2-维磁流体议程组整体经典解[J].郑州大学学报(理学版),2005,37(4):9-13,21. |
| 作者姓名： | 刘法贵 李红 史一蓬 |
| 作者单位： | 1. 华北水利水电学院应用数学系,郑州,450008 2. 中原工学院数理系,郑州,450052 3. 北京大学力学系,北京,100877 |
| 基金项目： | 河南省自然科学基金，河南省教育厅科技攻关项目 |
| 摘 要： | 利用分析技巧得到磁流体力学方程组新的对称形式.在此基础上,在初始密度趋于真空状态假设下,利用处理双曲方程组的方法证明了经典解的局部存在性,进而得到了经典解的整体存在性. |
| 关 键 词： | MHD流 整体经典解 存在性 |
| 文章编号： | 1671-6841（2005）04-0009-05 |
| 收稿时间： | 05 18 2005 12:00AM |
| 修稿时间： | 2005-05-18 |
Global Classical Solutions of the Equations of Two-dimensional Magnetohydrodynamics Flow |
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| Liu Fagui,Li Hong,Shi Yipeng.Global Classical Solutions of the Equations of Two-dimensional Magnetohydrodynamics Flow[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(4):9-13,21. | |
| Authors: | Liu Fagui Li Hong Shi Yipeng |
| Institution: | 1. Department of Applied Mathematics, North China Institute of Water Conservancy and Hydroelectric Power ,Zhengzhou 450008,China; 2. Department of Mathematics and Physics ,Zhongyuan University of Technology, Zhengzhou 450052, China; 3. Department of Mechanics ,Beijing University ,Beijing 100877 ,China |
| Abstract: | A new symmetric form of the equations of MHD transverse flow(MHDTF) is presented. On the basis,the local existence of smooth solution in the case where the initial density tends to vacuum state is obtained by using of treatment technique for hyperbolic equations. Furthermore,the global smooth solutions for a kind of initial data are obtained. |
| Keywords: | MHD flow global classical solution existence |
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