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。
Abstract: 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.