High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas

DOI10.1063/1.5053789zbMath1432.76222arXiv1904.03362OpenAlexW3000169686WikidataQ126338344 ScholiaQ126338344MaRDI QIDQ5218792

Qin Zhao, Aifang Qu, Hairong Yuan

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03362

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Weak solutions to PDEs (35D30) Supersonic flows (76J20) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Euler equations (35Q31)

Related Items (14)

Delta shock as free piston in pressureless Euler flows ⋮ The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law ⋮ Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases ⋮ The Riemann problem for isentropic compressible Euler equations with discontinuous flux ⋮ Hypersonic limit of two‐dimensional steady compressible Euler flows passing a straight wedge ⋮ The free piston problem for pressureless Euler equations under the gravity ⋮ Well‐posedness of reynolds averaged equations for compressible fluids with a vanishing pressure ⋮ One dimensional piston problem for compressible Euler equations of generalized Chaplygin gas ⋮ Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law ⋮ Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity ⋮ Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas ⋮ On vanishing pressure limit of continuous solutions to the isentropic Euler equations ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law

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