摘要
研究了广义Chaplygin气体的Aw-Rascle交通流的Riemann问题,构建了它的古典和非古典Riemann解.借助广义Rankine-Hugoniot关系和δ-激波熵条件,获得了δ-激波解的存在性和唯一性,并且给出一些数值模拟来阐明此分析.
This paper deals with the Riemann problem for the Aw-Rascle traffic flow model with the generalized Chaplygin gas and construct the classical and nonclassical solutions. Under the generalized Rankine-Hugoniot relation and δ-entropy condition, the author ob- tains the existence and uniqueness of δ-shock solutions and presents some numerical simu- lations to illustrate the analysis.
出处
《数学年刊（A辑）》
CSCD
北大核心
2014年第1期73-82,共10页
Chinese Annals of Mathematics
基金
安徽省教育厅自然科学重点基金(No.KJ2012A055)的资助
