Global solutions for an extended macroscopic model for traffic flow

Advanced Nonlinear Studies 2026 Open access

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Authors: Jianjun Chen, Richard De la cruz, Weifeng Jiang, Yun‐guang Lu, Changfeng Xue
DOI: 10.1515/ans-2023-0215
Cited by: 1
References: 10

Abstract

Abstract In this short paper, we are concerned with a nonlinear hyperbolic conservation system of three equations, which is an extended macroscopic model for traffic flow. The main contribution is to prove the global existence of weak solutions and obtain a new application of the compactness framework given in the paper “Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type” (J. Funct. Anal., 261(2011), 2797–2815).

Fields of Study & Subjects

Navier-Stokes equation solutions Mathematical Biology Tumor Growth Traffic control and management

Publication details

Journal / source
Advanced Nonlinear Studies
Publisher
Walter de Gruyter GmbH
Volume
26
Issue
2
Pages
402–407
Publication date
1 April 2026
Language
EN