标题:
带有Chaplygin压强的Aw-Rascle交通模型含有狄拉克函数初值的黎曼问题
The Riemann Problem with Delta Initial Data for the Chaplygin Pressure Aw-Rascle Traffic Model
作者:
李建业
关键字:
Aw-Rascle交通模型, 广义Rankine-Hugoniot条件, Delta-激波, 线性退化, 熵条件
Aw-Rascle Traffic Model; Generalized Rankine-Hugoniot Relation; Delta Shock Wave; Linearly Degenerate; Entropy Condition
期刊名称:
《Advances in Applied Mathematics》, Vol.2 No.3, 2013-08-12
摘要:
本文研究带有Chaplygin压强的Aw-Rascle交通模型含有狄拉克函数初值的黎曼问题。在广义的Rankine-Hugoniot条件和熵条件下，我们构造性得到四种不同情形下的全局广义解，包括了含有狄拉克激波。In this paper, we solve the Riemann problem with the initial data containing Dirac delta functions for the Chaplygin pressure Aw-Rascle traffic model. With the characteristic analysis, under the suitably generalized Rankine-Hugoniot relation and entropy condition, we constructively obtain the global generalized solutions that explicitly exhibit four kinds of different structures involving delta shock waves.