Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model

DOI10.1137/20M1355914zbMath1467.82072arXiv1911.05572MaRDI QIDQ3388520

Seok-Bae Yun, Young-Pil Choi

Publication date: 5 May 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05572

zbMATH Keywords

hydrodynamic limitkinetic equationstraffic modelrelative entropy methodPaveri-Fontana model

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Vlasov equations (35Q83) Euler equations (35Q31) Traffic and pedestrian flow models (76A30)

Related Items (4)

Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties ⋮ Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces ⋮ Mean-field limits: from particle descriptions to macroscopic equations ⋮ Large friction limit of pressureless Euler equations with nonlocal forces

Cites Work

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