3 papers
math.AP2021
A model for traffic flow on a road with variable widths
Wancheng Sheng, Qinglong Zhang
We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the so…
math.AP2021
The interaction of elementary waves for nonisentropic flow in a variable cross-section duct
Qinglong Zhang
The interaction of elementary waves for isentropic flow in a variable cross-section duct is obtained (\cite{ShengZhang}). The authors have discussed rarefaction wave or shock wave…
math.AP2021
Interaction of the elementary waves for shallow water equations with discontinuous topography
Qinglong Zhang, Wancheng Sheng, Yuxi Zheng
The Riemann problem of one dimensional shallow water equations with discontinuous topography has been constructed recently. The elementary waves include shock waves, rarefaction wa…