摘要
研究Chaplygin压交通流AR模型初值含Dirac δ函数的Riemann问题.在广义Rankine-Hugoniot条件和熵条件下,构造性地获得了包含δ激波的整体广义解,明确地显示出四种不同的结构.结果表明,在Riemann初值这里构造的扰动下,Riemann解是稳定的.
In this paper, we study the Riemann problem with the initial data containing the Dirae delta function for the Aw-Rascle traffic model with Chaplygin pressure. Under the generalized Rankine-Hugoniot relation and the entropy condition, we constructively obtain the global existence and uniqueness of generalized solutions including delta shock waves that explicitly exhibit four kinds of different structures. Moreover, it can be found that the solutions constructed here are stable for some perturbations of the initial data.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2014年第6期1353-1371,共19页
Acta Mathematica Scientia
基金
福建省自然科学基金(2012J01006)资助
