| 具松弛项的欧拉方程组的整体光滑解 |
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| 引用本文： | 郑永树.具松弛项的欧拉方程组的整体光滑解[J].华侨大学学报(自然科学版),2004,25(2):121-125. |
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| 作者姓名： | 郑永树 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362011 |
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| 基金项目： | 国务院侨务办公室科研基金资助项目 (0 3QZR9) |
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| 摘 要： | 研究具松弛项可压缩的欧拉方程组柯西问题．在关于压力函数和次特征条件的假设下，如果初值的C^1模具小性，且初始密度离开真空状态，证明其柯西问题存在唯一的整体光滑解．
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| 关 键 词： | 气动力学方程组 松弛项 整体光滑解 |
| 文章编号： | 1000-5013(2004)02-0121-05 |
Globally Smoothing Solution to Euler's Equations with Relaxation Term |
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| Zheng Yongshu.Globally Smoothing Solution to Euler's Equations with Relaxation Term[J].Journal of Huaqiao University(Natural Science),2004,25(2):121-125. |
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| Authors: | Zheng Yongshu |
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| Abstract: | A study is made on Cauchy problem of compressible Euler's equations with relaxation term.Taking pressure function and sub-characteristic condition as facts without proof, the globally smoothing solution to Cauchy problem of Euler's equations is proved to be uniquely existed if initial value is in a small C ' norm and initial density is away from state of vacuum. |
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| Keywords: | aerodynamic equations relaxation term globally smoothing solution |
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