Self-similar generalized Riemann problems for the 1-D isothermal Euler system

DOI10.1007/s00033-021-01505-xzbMath1464.35053OpenAlexW3135144678WikidataQ114231830 ScholiaQ114231830MaRDI QIDQ2026483

Yushuang Luo, Helge Kristian Jenssen

Publication date: 19 May 2021

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

Full work available at URL: https://doi.org/10.1007/s00033-021-01505-x

zbMATH Keywords

wedge between the shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of the viscosity method for isentropic gas dynamics
• Symmetries and global solvability of the isothermal gas dynamics equations
• Optimal density lower bound on nonisentropic gas dynamics
• Entropy solutions of the Euler equations for isothermal relativistic fluids
• Vacuum in Gas and Fluid Dynamics
• Hyperbolic systems of conservation laws II
• On the expansion of a gas into vacuum
• Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations
• Singularity Formation for the Compressible Euler Equations
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Hyperbolic Conservation Laws in Continuum Physics