On the mathematical theory of vehicular traffic flow. II: Discrete velocity kinetic models
From MaRDI portal
Publication:605448
DOI10.1016/j.ijnonlinmec.2006.02.008zbMath1200.76163OpenAlexW2004560771MaRDI QIDQ605448
Paolo Frasca, Marcello Delitala, Vincenzo Coscia
Publication date: 24 November 2010
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2006.02.008
Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Traffic problems in operations research (90B20)
Related Items
TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT ⋮ From generalized kinetic theory to discrete velocity modeling of vehicular traffic. A stochastic game approach ⋮ On the initial value problem for a class of discrete velocity models ⋮ On the Well Posedness of the Initial Value Problem in a Kinetic Traffic Flow Model ⋮ Towards a mathematical theory of behavioral human crowds ⋮ Modelling and simulations of multilane traffic flow by kinetic theory methods ⋮ On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems ⋮ From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium ⋮ On the coupling of steady and adaptive velocity grids in vehicular traffic modelling ⋮ Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling ⋮ Modeling and numerical simulations of multilane vehicular traffic by active particles methods ⋮ Qualitative analysis and simulation of a 10 degrees of freedom model of an electrically operated vehicle ⋮ Asymptotic limits of a discrete kinetic theory model of vehicular traffic ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ Mean-field limit of a hybrid system for multi-lane car-truck traffic ⋮ On the modeling of crowd dynamics: an overview and research perspectives ⋮ Fundamental diagrams for kinetic equations of traffic flow ⋮ TRAFFIC, CROWDS, AND SWARMS ⋮ FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS ⋮ ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS ⋮ Global solution to the Cauchy problem for discrete velocity models of vehicular traffic ⋮ On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics ⋮ Kinetic models for traffic flow resulting in a reduced space of microscopic velocities ⋮ From the discrete kinetic theory to modelling open systems of active particles ⋮ On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors ⋮ On the modelling of space dynamics in the kinetic theory for active particles ⋮ On the modelling of vehicular traffic and crowds by kinetic theory of active particles ⋮ Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives ⋮ A fully-discrete-state kinetic theory approach to traffic flow on road networks ⋮ Model of vehicle interactions with autonomous cars and its properties ⋮ What is life? A perspective of the mathematical kinetic theory of active particles