The Riemann problem with delta data for zero-pressure gas dynamics

DOI10.1007/S11401-016-0962-8zbMath1338.35292OpenAlexW2343611955MaRDI QIDQ295948

Li Wang

Publication date: 14 June 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-0962-8

zbMATH Keywords

zero-pressure gas dynamicsdelta-shockgeneralized Rankine-Hugoniot conditions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (4)

The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow ⋮ Generalized plane delta shock waves for the \(n\)-dimensional zero-pressure gas dynamics with energy conservation law ⋮ The vanishing pressure limit of Riemann solutions to the non-isentropic Euler equations for generalized Chaplygin gas ⋮ Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
• Spiral solution to the two-dimensional transport equations
• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• On discontinuity surfaces in a medium devoid of proper pressure
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations
• Interactions of delta shock waves for the transport equations with split delta functions
• The Riemann problem for the transportation equations in gas dynamics
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Riemann problem for one-dimensional system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics
• Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics

This page was built for publication: The Riemann problem with delta data for zero-pressure gas dynamics