… vacuum as pressure vanishes. We conclude that the limit of Riemann solutions of the IARZ
model is not the Riemann solutions … Riemann problem and Cauchy problem of GPGD model …

… ] Lebacque J, Mammar S, Salem H. The Aw-Rascle and Zhang’s model:Vacuum problems,
existence and regularity of the solutions of the Riemann problem. Transportation Res Part B, …

… in the Riemann problem for the Aw–Rascle model coupled with … δ-shock and a vacuum
state within the Riemann problem for this … In recent years, Sun, 21 and Zhang and Sun 22 have …

… with the Riemann problem for the inhomogeneous ARZ traffic model with the logarithmic …
the vacuum formation in this work, it is necessary to make fine distinctions between two vacuum …

… solutions containing vacuum are totally constructed by 11 cases in [16]. … the problem with
the left state Q− and the right state Q varying from Qcc − to Q+. We know a new shock wave S …

… , the Riemann problems of pressureless gas dynamics and Aw–Rascle model of traffic flow
… formation of delta-shocks and vacuum states in the limit of Riemann solutions to (1.1) with a …

… , we obtain the existence, uniqueness and stability of Riemann solutions. Then we study
the interaction problem of the CAR model with Chaplygin pressure, which models traffic …

… It was proposed by Aw and Rascle 1 to remedy the deficiencies of second order models of
… laws are proposed and studied in Zhang and Zhang. The considered system contains the …

… For the existence and regularity of the Riemann solutions, … In the following part, we consider
the Riemann problem of (1.2) in … after crossing the width changed area without vacuum state. …

… , we show that our nonlocal ARZ model exhibits global regularity for a class of smooth …
Aw–Rascle and Zhang’s model: Vacuum problems, existence and regularity of the solutions …