Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation

Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation

We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperbolic equations. The stochastic quantities are expanded in terms of wavelet-based series expansions. Then, they are proje...

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Bibliographic Details
Main Authors: Stephan Gerster, Michael Herty, Elisa Iacomini
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
traffic flow
uncertainty quantification
stability analysis
aw-rascle-zhang model
stochastic galerkin
chapman-enskog expansion
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2021220?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2021220?viewType=HTML

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