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Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

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Abstract

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.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou, 362000, Fujian Province, China

    Chunxiu Wu

  2. Fujian Provincial Key Laboratory of Data Intensive Computing, Quanzhou, 362000, Fujian Province, China

    Chunxiu Wu

  3. Key Laboratory of Intelligent Computing and Information Processing, Quanzhou, 362000, Fujian Province, China

    Chunxiu Wu

Authors
  1. Chunxiu Wu
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Correspondence to Chunxiu Wu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11602128) and the Natural Science Foundation of Fujian Province of China (No. 2016J01679)

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Wu, C. Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models. Appl. Math. Mech.-Engl. Ed. 39, 609–622 (2018). https://doi.org/10.1007/s10483-018-2327-6

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  • DOI: https://doi.org/10.1007/s10483-018-2327-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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