Conservation laws and Hamilton-Jacobi equations on a junction: the convex case
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Publication:6614217
DOI10.3934/dcds.2024082MaRDI QIDQ6614217
Nicolas Forcadel, Régis Monneau, Theo Girard, Pierre Cardaliaguet
Publication date: 7 October 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Hyperbolic conservation laws (35L65) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
- Conservation law models for traffic flow on a network of roads
- Viscosity solutions for junctions: well posedness and stability
- Hamilton-Jacobi equations constrained on networks
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- A well posed conservation law with a variable unilateral constraint
- Rigorous estimates on balance laws in bounded domains
- Finite volume schemes for locally constrained conservation laws
- Global subanalytic solutions of Hamilton-Jacobi type equations
- A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
- Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions
- Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network
- Well-posedness theory for nonlinear scalar conservation laws on networks
- Initial data identification in conservation laws and Hamilton-Jacobi equations
- Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction
- Global subanalytic solutions of Hamilton--Jacobi type equations
- New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux
- On interface transmission conditions for conservation laws with discontinuous flux of general shape
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- Numerical Methods for Conservation Laws With Discontinuous Coefficients
- First order quasilinear equations with boundary conditions
- OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
- Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks
- The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
- The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws
- A Geometric Approach to High Resolution TVD Schemes
- Scalar conservation laws and Hamilton-Jacobi equations in one-space variable
- Minimal entropy conditions for Burgers equation
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- A LWR model with constraints at moving interfaces
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions
- On modern approaches of Hamilton-Jacobi equations and control problems with discontinuities. A guide to theory, applications, and some open problems
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