A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM

doi:10.1016/S0252-9602(11)60336-6

Abstract

Abstract:

In this note, we consider the interactions of elementary waves for the traffic flow model proposed by Aw and Rascle when the vacuum is not involved. The solutions are obtained constructively and globally when the initial data consist of three pieces of constant states. Furthermore, it can be found that the Riemann solutions are stable with respect to such small perturbations of the initial data in this particular situation by investigating the limits of the solutions as the perturbed parameter " goes to zero.

Key words: interaction of elementary wave, Aw-Rascle model, Riemann problem, traffic flow, hyperbolic conservation laws

CLC Number:

35L65

SUN Mei-Na. A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM[J].Acta mathematica scientia,Series B, 2011, 31(4): 1503-1512.

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References

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A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM

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