Homogenization of a discrete model for a bifurcation and application to traffic flow
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Publication:2310811
DOI10.1016/j.matpur.2019.12.004zbMath1437.35037OpenAlexW2993273895WikidataQ126583515 ScholiaQ126583515MaRDI QIDQ2310811
Nicolas Forcadel, Wilfredo Salazar
Publication date: 6 April 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2019.12.004
Integro-partial differential equations (45K05) Traffic problems in operations research (90B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- On the micro-to-macro limit for first-order traffic flow models on networks
- Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models
- An easy-to-use algorithm for simulating traffic flow on networks: theoretical study
- Homogenization of second order discrete model and application to traffic flow.
- A well posed conservation law with a variable unilateral constraint
- A junction condition by specified homogenization and application to traffic lights
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics
- Homogenization of some particle systems with two-body interactions and of the dislocation dynamics
- Viscosity solutions for weakly coupled systems of first-order partial differential equations
- Perron's method for monotone systems of second-order elliptic partial differential equations
- Viscosity solutions of Hamilton-Jacobi equations
- Specified homogenization of a discrete traffic model leading to an effective junction condition
- Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions
- A non-local regularization of first order Hamilton-Jacobi equations
- Viscosity solutions of nonlinear integro-differential equations
- Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions
- Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
- Homogenization of fully overdamped Frenkel-Kontorova models
- An easy-to-use algorithm for simulating traffic flow on networks: numerical experiments
- Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
- Viscosity solutions for monotone systems of second–order elliptic PDES
- User’s guide to viscosity solutions of second order partial differential equations
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- Hamilton-Jacobi Equations on Networks as Limits of Singularly Perturbed Problems in Optimal Control: Dimension Reduction
- Shock Waves on the Highway
- Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics
- On kinematic waves II. A theory of traffic flow on long crowded roads