Nonlocal Conservation Laws in Bounded Domains

DOI10.1137/18M1171783zbMath1395.35143arXiv1711.05083OpenAlexW2964313217MaRDI QIDQ3176427

Elena Rossi, Rinaldo M. Colombo

Publication date: 20 July 2018

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

Full work available at URL: https://arxiv.org/abs/1711.05083

zbMATH Keywords

well posednesscrowd dynamicsmacroscopic pedestrian model

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (15)

Analysis and control of a non-local PDE traffic flow model ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon ⋮ Regularity results for the solutions of a non-local model of traffic flow ⋮ Well-posedness of general 1D initial boundary value problems for scalar balance laws ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Well‐posedness of IBVP for 1D scalar non‐local conservation laws ⋮ Sharp critical thresholds for a class of nonlocal traffic flow models ⋮ A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux ⋮ Analysis of district heating networks ⋮ Modeling of crowds in regions with moving obstacles ⋮ A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries ⋮ Existence and uniqueness results for a class of nonlocal conservation laws by means of a Lax–Hopf-type solution formula ⋮ Crowd Dynamics Through Conservation Laws ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles

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