A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit

DOI10.4310/CMS.2017.v15.n1.a12zbMath1356.35096arXiv1510.04461OpenAlexW2964118669MaRDI QIDQ510241

Francesco Rossi, Paola Goatin

Publication date: 17 February 2017

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04461

zbMATH Keywords

transport equationsWasserstein distancemacroscopic traffic flow modelsdiscontinuous anisotropic kernelnon-local velocity

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for nonlinear first-order PDEs (35F25)

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