Singular limits with vanishing viscosity for nonlocal conservation laws

DOI10.1016/j.na.2021.112370zbMath1470.35231OpenAlexW3170829831MaRDI QIDQ2048323

Alexander Keimer, Lukas Pflug, Nicola De Nitti, Giuseppe Maria Coclite

Publication date: 5 August 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112370

zbMATH Keywords

vanishing viscositycompensated compactnesssingular limitstraffic flownonlocal fluxnonlocal-to-local convergence

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Traffic and pedestrian flow models (76A30)

Related Items (8)

On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation ⋮ Macroscopic Analysis Of The Viscous-Diffusive Traffic Flow Model

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