The Perturbed Riemann Problem for the Aw-Rascle Model with Modified Chaplygin Gas Pressure

الملخص EN

This paper is concerned with the perturbed Riemann problem for the Aw-Rascle model with the modified Chaplygin gas pressure.

We obtain constructively the solutions when the initial values are three piecewise constant states.

The global structure and the large-time asymptotic behaviors of the solutions are discussed case by case.

Further, we obtain the stability of the corresponding Riemann solutions as the initial perturbed parameter tends to zero.