Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network
From MaRDI portal
Publication:2011800
DOI10.3934/dcds.2017257zbMath1368.90043OpenAlexW2558329972MaRDI QIDQ2011800
Boris P. Andreianov, Carlotta Donadello, Giuseppe Maria Coclite
Publication date: 7 August 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017257
Related Items (15)
Exponential stability of a general slope limiter scheme for scalar conservation laws subject to a dissipative boundary condition ⋮ An explicit finite volume algorithm for vanishing viscosity solutions on a network ⋮ Well-posedness theory for nonlinear scalar conservation laws on networks ⋮ Kinetic layers and coupling conditions for nonlinear scalar equations on networks ⋮ Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions ⋮ On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ Vanishing viscosity on a star-shaped graph under general transmission conditions at the node ⋮ A filtered Chebyshev spectral method for conservation laws on network ⋮ On the implementation of a finite volumes scheme with monotone transmission conditions for scalar conservation laws on a star-shaped network ⋮ On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls ⋮ Vanishing viscosity approximation for linear transport equations on finite star-shaped networks ⋮ Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks ⋮ Representation of capacity drop at a road merge via point constraints in a first order traffic model ⋮ Vanishing viscosity for traffic on networks with degenerate diffusivity ⋮ Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Entropy conditions for scalar conservation laws with discontinuous flux revisited
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Well-posedness for a class of \(2\times 2\) conservation laws with \(\mathbb{L}^\infty\) data
- On vanishing viscosity approximation of conservation laws with discontinuous flux
- Flows on networks: recent results and perspectives
- A family of numerical schemes for kinematic flows 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
- Vanishing Viscosity for Traffic on Networks
- First order quasilinear equations with boundary conditions
- An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
- A UNIQUENESS CONDITION FOR NONLINEAR CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
- Monotone Difference Approximations for Scalar Conservation Laws
- Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies
- ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- Well-posedness of general boundary-value problems for scalar conservation laws
- Traffic Flow on a Road Network
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- Front tracking for hyperbolic conservation laws
This page was built for publication: Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network
