Acta mathematica scientia, Series B >
A NOTE ON THE INTERACTIONS OF ELEMENTARY WAVES FOR THE AR TRAFFIC FLOW MODEL WITHOUT VACUUM
Received date: 2009-03-16
Revised date: 2011-01-22
Online published: 2011-07-20
Supported by
Sponsored by National Natural Science Foundation of China (10901077); China Postdoctoral Science Foundation (201003504; 20090451089) and Shandong Provincial Doctoral Foundation (BS2010SF006).
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.
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 . DOI: 10.1016/S0252-9602(11)60336-6
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