AW-Rascle模型的Riemann解的压力消失极限

尹淦

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AW-Rascle模型的Riemann解的压力消失极限

数理科学 | 更新时间：2026-01-21

- AW-Rascle模型的Riemann解的压力消失极限
- AW-Rascle模型的Riemann解的压力消失极限
- 新疆大学学报（自然科学版中英文） 2013年30卷第3期页码：289-296
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金项目(11101348);新疆大学自然科学基金项目(BS090107,BS100105);新疆高校科研计划项目(XJEDU2011S02)
- DOI：
  中图分类号： O175
- 纸质出版：2013
- 稿件说明：
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[1]尹淦.AW-Rascle模型的Riemann解的压力消失极限[J].新疆大学学报(自然科学版),2013,30(03):289-296.

尹淦. AW-Rascle模型的Riemann解的压力消失极限[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 289-296.
[1]尹淦.AW-Rascle模型的Riemann解的压力消失极限[J].新疆大学学报(自然科学版),2013,30(03):289-296. DOI：

尹淦. AW-Rascle模型的Riemann解的压力消失极限[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 289-296. DOI：

摘要

研究了一维Chaplygin气体AW-Rascle模型的Riemann解.利用压力消失的方法

得到了两种情况下Riemann解的极限.首先

当压力消失时

包含两个激波的Riemann解趋向于输运方程组的delta激波解.通过对极限过程中delta激波的强度和传播速度的仔细讨论

发现其与多方气体情形有明显的不同.其次

当压力趋于零时

包含两个疏散波的Riemann解趋向于输运方程组的真空解.

Abstract

The Riemann solutions to Chaplygin AW-Rascle model with a scaled pressure are considered.When the pressure vanishes

there are two cases. The Riemann solution containing two shock waves converges to the delta shock wave solution of the transport equations. During this process

both the strength and propagation speed of the delta shock are investigated in detail. We find that there is something diferent from that for polytropic or isothermal gas. The Riemann solution containing two rarefaction waves tends to the vacuum solution to the transport equations as the pressure goes to zero.

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references

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