Riemann problem for the pressureless cargo-leroux model by flux perturbation

DOI10.1007/s00033-018-1036-4zbMath1416.35161OpenAlexW2896157389WikidataQ129055467 ScholiaQ129055467MaRDI QIDQ1991627

Hong Jun Cheng

Publication date: 30 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1036-4

zbMATH Keywords

delta-shockvacuum stateCargo-LeRoux modelpressureless Euler equations without external forces

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items

Delta shocks and vacuum states in the Riemann solutions of Chaplygin Euler equations as pressure and magnetic field drop to zero ⋮ Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ The intrinsic phenomena of cavitation and concentration in Riemann solutions for the isentropic two-phase model with the logarithmic equation of state ⋮ Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation ⋮ Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas ⋮ Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas

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