On exact solutions of rarefaction-rarefaction interactions in compressible isentropic flow

DOI10.1007/s00021-016-0309-yzbMath1395.35166OpenAlexW2560632698MaRDI QIDQ1690462

Helge Kristian Jenssen

Publication date: 19 January 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-016-0309-y

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Solutions to PDEs in closed form (35C05)

Related Items (4)

Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations ⋮ Reflection and refraction of waves across an interface of two-phase flow ⋮ Optimal density lower bound on nonisentropic gas dynamics ⋮ The interaction of rarefaction waves for a system of granular flow equations

Uses Software

• DLMF

Cites Work

• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
• Existence in the large for quasilinear hyperbolic conservation laws
• On the Riemann-Green function
• Convergence of the viscosity method for isentropic gas dynamics
• On the vacuum state for the equations of isentropic gas dynamics
• Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics
• Initial-boundary value problems for gas dynamics
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Singularity Formation for the Compressible Euler Equations
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws
• The Rectilinear Motion of a Gas
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