The cavitation and concentration of Riemann solutions for the isentropic Euler equations with isothermal dusty gas

DOI10.1016/j.nonrwa.2022.103761zbMath1517.35167MaRDI QIDQ6099558

Wei-Feng Jiang, Tingting Chen, Tong Li, Yuan Zhang

Publication date: 20 June 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

vacuumconservation lawsRiemann problempressureless Euler equationsvanishing pressure limit\( \delta \)-shock wave

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas
• The limits of Riemann solutions to the isentropic magnetogasdynamics
• Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
• Solution of Riemann problem for ideal polytropic dusty gas
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity
• Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
• Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
• Limits of solutions to the isentropic Euler equations for van der Waals gas
• Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations
• Blast waves in dusty gases
• The Riemann problem for the transportation equations in gas dynamics
• Sticky Particles and Scalar Conservation Laws
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Similarity solution for variable energy shock waves in a dusty gas under isothermal flow-field condition
• Weak Solution to Pressureless Type System
• The Riemann problem for an isentropic ideal dusty gas flow with a magnetic field
• A New Sticky Particle Method for Pressureless Gas Dynamics
• Vanishing flux perturbation, pressure, and magnetic field limit in a Chaplygin magnetogasdynamics
• Note on the compressible Euler equations with zero temperature
• Well posedness for pressureless flow
• The analytical solutions to one-dimensional non-ideal dusty gas flow

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