Modeling and numerical simulations of multilane vehicular traffic by active particles methods

DOI10.1142/s0218202523500252zbMath1516.35299OpenAlexW4321019076MaRDI QIDQ6133443

Mohamed Zagour

Publication date: 24 July 2023

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202523500252

zbMATH Keywords

Cauchy problemnonlinearitykinetic theoryempirical datamultilane traffic flowactive particles methods

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Boltzmann equations (35Q20)

Related Items (1)

Editorial: Active particle models and methods in science and society

Cites Work

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• Conservation law models for traffic flow on a network of roads
• On the mathematical theory of vehicular traffic flow. II: Discrete velocity kinetic models
• TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH
• Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
• What is life? A perspective of the mathematical kinetic theory of active particles
• On the Well Posedness of the Initial Value Problem in a Kinetic Traffic Flow Model
• Towards a mathematical theory of behavioral human crowds
• A unified multiscale vision of behavioral crowds
• Models for Dense Multilane Vehicular Traffic
• MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH

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