| 理想磁流体动力学方程组经典解的破裂 |
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| 引用本文： | 雷震.理想磁流体动力学方程组经典解的破裂[J].数学年刊A辑(中文版),2005(2). |
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| 作者姓名： | 雷震 |
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| 作者单位： | 复旦大学数学所 上海 |
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| 基金项目： | 国家自然科学基金(No．10225102)
教育部博士点基金资助的项目． |
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| 摘 要： | 本文给出了理想磁流体动力学方程组的经典解在初始扰动适当大的情况下破裂的结果.文1]证明了描述多方理想可压缩气体运动的欧拉系统的经典解在初始扰动适当大的情况下破裂的结果.本文将利用和文1]相似的方法证明所得定理.
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| 关 键 词： | 破裂 生命跨度 磁流体动力学 |
BLOW-UP OF CLASSICAL SOLUTIONS TO THE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH INITIAL DISTURBANCES |
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| LEI Zhen Institute of Mathematics,Fudan Unibersity,Shanghai ,China.BLOW-UP OF CLASSICAL SOLUTIONS TO THE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH INITIAL DISTURBANCES[J].Chinese Annals of Mathematics,2005(2). |
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| Authors: | LEI Zhen Institute of Mathematics Fudan Unibersity Shanghai China |
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| Institution: | LEI Zhen Institute of Mathematics,Fudan Unibersity,Shanghai 200433,China, Department of Mathematics,Northeast Normal University,Changchun 130024,China. |
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| Abstract: | This paper shows blow-up of classical solutions to the 3-dimensional ideal Magneto-hydrodynamic equations with appropriate large initial disturbances. Thomas C.Sideris in 1] proved blow-up of classical solutions to the Euler sysytem describing the motion of the polytropic 3-dimensional ideal compressible gas with appropriate large initial disturbances. Here the author will use a method similar to that of Sideris' to prove our theorems. |
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| Keywords: | Blow-up Lifespan Magnetohydrodynamics |
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