Interactions of Elementary Waves for the Aw–Rascle Model

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Publication:3654413

DOI10.1137/080731402zbMath1184.35208OpenAlexW2043116156MaRDI QIDQ3654413

Mei-na Sun

Publication date: 6 January 2010

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080731402




Related Items (41)

Riemann solutions of the anti-Chaplygin pressure Aw–Rascle model with frictionThe stability of the Riemann solutions for the non-symmetry Keyfitz-Kranzer system with Chaplygin pressureThe resonance behavior for the coupling of two Aw-Rascle traffic modelsGlobal solutions of the perturbed Riemann problem for the chromatography equationsFlux approximation to the Aw-Rascle model of traffic flowWave interactions and stability of Riemann solutions to the Aw-Rascle model with friction for modified Chaplygin gasWave interactions and stability of the Riemann solutions for a scalar conservation law with a discontinuous flux functionInteraction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation lawsThe Riemann problem and a Godunov-type scheme for a traffic flow model on two lanes with two velocitiesFormation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle modelSingular solutions to the Riemann problem for a macroscopic production modelConcentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic modelWeak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbationHeterogeneous traffic flow modelling using second-order macroscopic continuum modelThe initial value problem of coupled Aw-Rascle traffic model with Chaplygin pressureAsymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow modelConcentration of mass in the vanishing adiabatic exponent limit of Aw-Rascle traffic model with relaxationThe delta-shock wave for the two variables of a class of Temple systemInteraction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flowsThe perturbed Riemann problem and delta contact discontinuity in chromatography equationsInteraction of elementary waves for the Aw-Rascle traffic flow model with variable Lane widthConstruction of global solutions for a symmetric system of Keyfitz-Kranzer type with three piecewise constant statesWave interactions and stability of Riemann solutions of the Aw-Rascle model for generalized Chaplygin gasConstruction of the global solutions to the perturbed Riemann problem for the Leroux systemDeveloping an Aw-Rascle model of traffic flowRiemann problem for the Aw-Rascle model of traffic flow with general pressureWave interactions and stability of the Riemann solutions for the chromatography equationsStability of the Riemann solutions for a nonstrictly hyperbolic system of conservation lawsThe Riemann problem with delta initial data for the one-dimensional transport equationsThe perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant statesApproximation and Existence of Vacuum States in the Multiscale Flows of Compressible Euler EquationsDelta shock waves for the chromatography equations as self-similar viscosity limitsStability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solutionStructural stability of solutions to the Riemann problem for a scalar conservation lawViscous regularization of delta shock wave solution for a simplified chromatography systemExistence and stability of Riemann solution to the Aw-rascle model with frictionTwo-dimensional Aw-Rascle model with Chaplygin pressures: Riemann solutions consisting of contact discontinuitiesThe Riemann problem with delta initial data for the non-isentropic improved Aw-Rascle-Zhang modelThe wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear fieldGeneralized \(\delta\)-entropy condition to Riemann solution for Chaplygin gas in traffic flowAnalysis of wave interaction and its applications of traffic flow model with variable lane width




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