New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks
DOI10.1137/21M1434283zbMath1492.35076arXiv2107.06736OpenAlexW3178715228WikidataQ114847115 ScholiaQ114847115MaRDI QIDQ5081151
Elio Marconi, Simone Dovetta, Laura V. Spinolo
Publication date: 13 June 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.06736
source-destination modelentropy admissible solutionstraffic modelsLWR model on networksmultipath approach
Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic equations (35L03) Traffic and pedestrian flow models (76A30)
Related Items (1)
Cites Work
- Continuous Riemann solvers for traffic flow at a junction
- Conservation law models for traffic flow on a network of roads
- An easy-to-use algorithm for simulating traffic flow on networks: theoretical study
- Conservation laws on complex networks
- Traces and fine properties of a \(BD\) class of vector fields and applications
- Rigorous estimates on balance laws in bounded domains
- Pairings between measures and bounded functions and compensated compactness
- Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension
- Flows on networks: recent results and perspectives
- On the structure of \({L^\infty}\)-entropy solutions to scalar conservation laws in one-space dimension
- Initial-boundary value problems for continuity equations with BV coefficients
- Source-destination flow on a road network
- Exact controllability of scalar conservation laws with strict convex flux
- A regularity theorem for conservation laws
- Strong traces for solutions to scalar conservation laws with general flux
- Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux
- On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
- Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
- First order quasilinear equations with boundary conditions
- A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
- Regularity and large time behaviour of solutions of a conservation law without convexity
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node
- Fractional BV spaces and applications to scalar conservation laws
- Convergence Rates of Monotone Schemes for Conservation Laws with Discontinuous Flux
- Regularity estimates for scalar conservation laws in one space dimension
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
- Traffic Flow on a Road Network
- Shock Waves on the Highway
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Hyperbolic Conservation Laws in Continuum Physics
- Strong traces for solutions of multidimensional scalar conservation laws
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks