| 一维可压缩Euler方程经典解的破裂 |
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| 引用本文： | 张新丽,张春凤.一维可压缩Euler方程经典解的破裂[J].菏泽学院学报,2006,28(2):12-15. |
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| 作者姓名： | 张新丽 张春凤 |
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| 作者单位： | 1. 青岛科技大学数理系,山东,青岛,266042
2. 青岛理工大学理学院,山东,青岛,266033 |
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| 摘 要： | 将一维可压缩Euler方程组的柯西问题通过引入黎曼不变量将其化为对角型一阶拟线性双曲组,以此为基础研究解的生命跨度,并给出了经典解的生命跨度的上界估计.
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| 关 键 词： | 可压缩Euler方程 生命跨度 |
| 文章编号： | 1673-2103（2006）02-0012-04 |
| 收稿时间： | 2005-12-08 |
| 修稿时间： | 2005年12月8日 |
Blowup of Classical Solutions of Compressible Euler Equations in One Space Dimension |
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| ZHANG Xin-li,ZHANG Chun-feng.Blowup of Classical Solutions of Compressible Euler Equations in One Space Dimension[J].Journal of Heze University,2006,28(2):12-15. |
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| Authors: | ZHANG Xin-li ZHANG Chun-feng |
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| Institution: | 1. Department of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao Shandong 266042, China; 2. College of Science, Qingdao Technological University, Qingdao Shandong 266033, China |
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| Abstract: | It is studied that blowup of classical solutions of compressible Euler equations in one space dimensions.It is proved that the classical solutions have to blow up in the finite time and obtained that an upper bound for the lifespan. |
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| Keywords: | compressible Euler equations lifespan |
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