| 磁流体方程的时间解析性和时间周期解 |
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| 引用本文： | 余用江,李开泰.磁流体方程的时间解析性和时间周期解[J].高校应用数学学报(A辑),2005,20(4):465-474. |
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| 作者姓名： | 余用江 李开泰 |
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| 作者单位： | 西安交通大学,理学院,陕西西安,710049;上海交通大学,数学系,上海,200030;西安交通大学,理学院,陕西西安,710049 |
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| 基金项目： | 国家自然科学基金（50306019;50136030;40375010;10101020;10471109） |
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| 摘 要： | 考查了周期边界条件下的磁流体方程,证明了它的解关于时间是解析的,由此得到了磁流体方程的解的向后惟一性.对于周期解,证明了当周期小于某个常数时,周期的弱解是强解,进一步地这样的强解是定常解.
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| 关 键 词： | 磁流体方程 解析 向后惟一性 周期解 |
| 文章编号： | 1000-4424（2005）04-0465-10 |
| 收稿时间： | 2004-12-20 |
| 修稿时间： | 2004-12-20 |
Time analyticity and periodic solutions for magnetohydrodynamics equations |
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| YU Yong-jiang,LI Kai-tai.Time analyticity and periodic solutions for magnetohydrodynamics equations[J].Applied Mathematics A Journal of Chinese Universities,2005,20(4):465-474. |
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| Authors: | YU Yong-jiang LI Kai-tai |
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| Abstract: | Magnetohydrodynamics equations with periodic boundary conditions are considered in this note. The time analyticity of the solutions for the equations is proved and the backward uniqueness is obtained. As for the periodic weak solutions it is proved that the weak periodic solutions are actually strong solutions when the period is smaller than a certain constant ,and furthermore such strong solutions are necessarily stationary when the periods are small enough. |
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| Keywords: | magnetohydrodynamics equations analyticity backward uniquenessperiodic solution |
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