Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic
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Publication:2068766
DOI10.3934/nhm.2021011zbMath1481.35271OpenAlexW3172470166MaRDI QIDQ2068766
Nicola De Nitti, Mauro Garavello, Giuseppe Maria Coclite, Francesca Marcellini
Publication date: 20 January 2022
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2021011
Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Traffic and pedestrian flow models (76A30)
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Cites Work
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- Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
- Convergence of the viscosity method for isentropic gas dynamics
- Modelling of motorway traffic to second order
- Partial differential equations. I: Basic theory
- Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- The vacuum case in DiPerna's paper
- Global existence of solutions for a nonstrictly hyperbolic system
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- The semigroup generated by \(2 \times 2\) conservation laws
- Global solutions to one-dimensional shallow water magnetohydrodynamic equations
- The Riemann problem at a junction for a phase transition traffic model
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- The Aw-Rascle vehicular traffic flow model with phase transitions
- A General Phase Transition Model for Vehicular Traffic
- First order quasilinear equations with boundary conditions
- 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
- L_1 Stability of Conservation Laws with coinciding hugoniot and characteristic curves
- Remarks on DiPerna’s paper “Convergence of the viscosity method for isentropic gas dynamics”
- Congestion on Multilane Highways
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- Hyperbolic Phase Transitions in Traffic Flow
- Resurrection of "Second Order" Models of Traffic Flow
- Systems of Conservation Laws with Invariant Submanifolds
- On Weak Completeness of the Set of Entropy Solutions to a Scalar Conservation Law
- Shock Waves on the Highway
- A 2-Phase Traffic Model Based on a Speed Bound
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Hyperbolic Conservation Laws in Continuum Physics
- Front tracking for hyperbolic conservation laws
