Applied Mathematics and Mechanics >
Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models
Received date: 2017-07-26
Revised date: 2017-11-06
Online published: 2018-05-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 11602128) and the Natural Science Foundation of Fujian Province of China (No. 2016J01679)
The boundary-layer method is used to study a wide moving jam to a class of higher-order viscous models. The equations for characteristic parameters are derived to determine the asymptotic solution. The sufficient and essential conditions for the wide moving jam formation are discussed in detail, respectively, and then used to prove or disprove the existence of the wide moving jam solutions to many well-known higher-order models. It is shown that the numerical results agree with the analytical results.
Chunxiu WU . Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models[J]. Applied Mathematics and Mechanics, 2018 , 39(5) : 609 -622 . DOI: 10.1007/s10483-018-2327-6
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