Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate
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Publication:2687012
DOI10.1007/s00205-023-01845-0OpenAlexW4322505093MaRDI QIDQ2687012
Laura V. Spinolo, Elio Marconi, Maria Colombo, Gianluca Crippa
Publication date: 1 March 2023
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03949
First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Integro-partial differential equations (35R09) Traffic and pedestrian flow models (76A30)
Related Items (6)
On the singular limit problem for a discontinuous nonlocal conservation law ⋮ Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave ⋮ Solutions of kinetic equations related to non-local conservation laws ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ Sharp critical thresholds for a class of nonlocal traffic flow models ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit
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