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 引用本文: 刘玉锦, 盛万成. 气体动力学燃烧模型的广义Riemann问题[J]. 应用数学和力学, 2011, 32(8): 1011-1020.
LIU Yu-jin, SHENG Wan-cheng. Generalized Riemann Problem for Gas Dynamic Combustion[J]. Applied Mathematics and Mechanics, 2011, 32(8): 1011-1020. doi: 10.3879/j.issn.1000-0887.2011.08.011
 Citation: LIU Yu-jin, SHENG Wan-cheng. Generalized Riemann Problem for Gas Dynamic Combustion[J]. Applied Mathematics and Mechanics, 2011, 32(8): 1011-1020.

## 气体动力学燃烧模型的广义Riemann问题

##### doi: 10.3879/j.issn.1000-0887.2011.08.011

###### 作者简介:刘玉锦(1979- ),女,山东淄博人,博士生(E-mail:yjliu@shu.edu.cn);盛万成(1963- ),男,新疆人,教授(联系人.Tel:+86-21-66132526;E-mail:mathwcsheng @shu.edu.cn).
• 中图分类号: O175.27; O175.29; O354.5

## Generalized Riemann Problem for Gas Dynamic Combustion

• 摘要: 考察了在(x,t)平面上原点(t＞0)的邻域内气体动力学燃烧模型的广义Riemann问题．在改进的熵条件下构造了此问题的唯一解．它们是自相似ZND燃烧模型的极限．发现对某些情形,广义Riemann问题的解与相应的Riemann问题的解有本质的不同．特别地,扰动会使得相应Riemann问题的强爆轰波转化为由预压激波点燃的弱爆燃波．在一些情形，尽管相应的Riemann解中不含燃烧波,扰动后燃烧波会出现．这反映了未燃气体的不稳定性．
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##### 出版历程
• 收稿日期:  2010-11-12
• 修回日期:  2011-06-14
• 刊出日期:  2011-08-15

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