Riemann problems for a hyperbolic system of nonlinear conservation laws from the Liou–Steffen pressure system

DOI10.1142/S021989162250014XzbMath1503.35110OpenAlexW4307124436WikidataQ115245116 ScholiaQ115245116MaRDI QIDQ5051609

Hong Jun Cheng, Han-Chun Yang

Publication date: 24 November 2022

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989162250014x

zbMATH Keywords

Riemann problemnonlinear conservation lawnumerical simulationLiou-Steffen pressure system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Cites Work

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• Two-dimensional Riemann problem for scalar conservation laws
• Semi-hyperbolic patches of solutions of the pressure gradient system
• Multidimensional shock interaction for a Chaplygin gas
• Shocks and rarefactions in two space dimensions
• A new flux splitting scheme
• Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
• Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. II: Initial data involving some rarefaction waves
• On the 2-D Riemann problem for the compressible Euler equations I: Interaction of shocks and rarefaction waves
• On two-dimensional Riemann problem for pressure-gradient equations of the Euler system
• On the \(2\)-D Riemann problem for the compressible Euler equations. II: Interaction of contact discontinuities
• Flux splitting schemes for the Euler equations
• Two dimensional Riemann problems for the nonlinear wave system: rarefaction wave interactions
• The Riemann Problem in Two Space Dimensions for a Single Conservation Law
• Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
• Two-Dimensional Riemann Problem for a Single Conservation Law
• The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
• Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• The Riemann problem for the transportation equations in gas dynamics
• Numerical solutions of Euler equations by using a new flux vector splitting scheme
• Existence of solutions to the transonic pressure gradient equations of the compressible euler equations in elliptic Regions
• Riemann problem for the 2D scalar conservation law involving linear fluxes with discontinuous coefficients

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