摘要
Through considering the connection between microscopic car-following model and macroscopic continuum model, a new viscous vehicular flow model is proposed, in which the viscosity coefficient is determined by a more realistic constitutive relationship between averaged reaction time of drivers and the car density. Further analysis indicates that two traffic sound speeds in this viscous model may determine the existence and the stability of traveling wave solutions with an analytical method.
Through considering the connection between microscopic car-following model and macroscopic continuum model, a new viscous vehicular flow model is proposed, in which the viscosity coefficient is determined by a more realistic constitutive relationship between averaged reaction time of drivers and the car density. Further analysis indicates that two traffic sound speeds in this viscous model may determine the existence and the stability of traveling wave solutions with an analytical method.
基金
Project supported by the National Basic Research Program of China (973 Program, Grant No. 2006CB705500)
the National Natural Science Foundation of China (Grant Nos. 10962002, 10902076 and 10972135)
the Natural Science Foundation of Shanxi Province (Grant No. 2010011004)
the Shanghai Program for Innovative Research Team in Universities
