Name
Abstract | ||
|---|---|---|
In this paper, we study the interactions of elementary waves for the traffic flow model proposed by Aw and Rascle in [SIAM J. Appl. Math., 60 (2000), pp. 916-938]. The solutions are obtained constructively when the initial data are three piecewise constant states. In particular, a new wave SJ in which a shock wave S and a contact discontinuity J coincide with each other is obtained during the process of interaction. Moreover, by studying the limits of the solutions as the perturbed parameter e tends to zero, it can be found that the Riemann solutions are stable for such perturbations with the initial data. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080731402 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
interaction of elementary waves,vacuum state,Aw-Rascle model,Riemann problem,traffic flow,hyperbolic conservation laws | Mathematical analysis,Discontinuity (linguistics),Shock wave,Riemann hypothesis,Vacuum state,Riemann problem,Piecewise,Perturbation (astronomy),Physics | Journal |
Volume | Issue | ISSN |
69 | 6 | 0036-1399 |
Citations | PageRank | References |
1 | 0.60 | 6 |
Authors | ||
1 | ||