Generalized δ-entropy condition to Riemann solution for Chaplygin gas in traffic flow  

作　　者：Wancheng SHENG Ying ZENG 

机构地区：[1]Department of Mathematics,Shanghai University [2]Department of Mathematics and Physics,Quzhou University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第3期353-364,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11371240);the Scientific Research Innovation Project of Shanghai Municipal Education Commission(No.11ZZ84);the grant of "The First-Class Discipline of Universities in Shanghai"

摘　　要：The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations, the δ-entropy conditions, and the generalized δ-entropy conditions. A new Delta wave, which is called a primary Delta wave, is defined in some solutions. The primary Delta wave satisfies the generalized Rankine- Hugoniot relations and the generalized δ-entropy conditions. It generates initially from the Delta initial data, which either evaluates a Delta wave, whose weight becomes stronger and stronger, or disappears at a finite time.The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations, the δ-entropy conditions, and the generalized δ-entropy conditions. A new Delta wave, which is called a primary Delta wave, is defined in some solutions. The primary Delta wave satisfies the generalized Rankine- Hugoniot relations and the generalized δ-entropy conditions. It generates initially from the Delta initial data, which either evaluates a Delta wave, whose weight becomes stronger and stronger, or disappears at a finite time.

关 键 词：generalized δ-entropy condition Riemann problem for Aw-Rascle model generalized Rankine-Hugoniot relation Delta initial datum Chaplygin gas 

分 类 号：O186.12[理学—数学]