AW-Rascle模型的Riemann解的压力消失极限

被引：1
|
作者：
尹淦
机构：
[1] 新疆大学数学与系统科学学院
来源：
新疆大学学报(自然科学版) | 2013年 / 30卷 / 03期
关键词：
Chaplygin气体; Riemann问题; Delta激波; 真空; 压力消失极限;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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.
引用
收藏
页码：289 / 296
页数：8
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