Regularity results for the solutions of a non-local model of traffic flow
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Publication:2423620
DOI10.3934/dcds.2019132zbMath1433.35197OpenAlexW4317676152MaRDI QIDQ2423620
Paola Goatin, Florent Berthelin
Publication date: 20 June 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019132
Sobolev estimatesscalar conservation lawstraffic flow modelsviscous approximationanisotropic non-local flux
Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)
Related Items (10)
Analysis and control of a non-local PDE traffic flow model ⋮ eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Solutions of kinetic equations related to non-local conservation laws ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ An Overview of Non-local Traffic Flow Models ⋮ Local limit of nonlocal traffic models: convergence results and total variation blow-up ⋮ A non-local scalar conservation law describing navigation processes ⋮ Crowd Dynamics Through Conservation Laws ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
Cites Work
- Unnamed Item
- Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
- Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
- Shock formation in a traffic flow model with Arrhenius look-ahead dynamics
- Existence, uniqueness and regularity results on nonlocal balance laws
- A Godunov type scheme for a class of LWR traffic flow models with non-local flux
- On the singular local limit for conservation laws with nonlocal fluxes
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity
- On nonlocal conservation laws modelling sedimentation
- Nonlocal Conservation Laws in Bounded Domains
- On the Numerical Integration of Scalar Nonlocal Conservation Laws
- Nonlocal Systems of Conservation Laws in Several Space Dimensions
- Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics
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