Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas

DOI10.1016/J.JMAA.2019.123486zbMath1428.35333arXiv1906.05665OpenAlexW2972366846MaRDI QIDQ2326002

Hairong Yuan, Aifang Qu

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05665

zbMATH Keywords

Chaplygin gasDirac measurecompressible Euler equationspistonmeasure solutionhigh Mach number limit

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Euler equations (35Q31) PDEs with measure (35R06)

Related Items (9)

Delta shock as free piston in pressureless Euler flows ⋮ 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 ⋮ The free piston problem for pressureless Euler equations under the gravity ⋮ 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 ⋮ Unnamed Item ⋮ The limiting behavior of the Riemann solutions of non-isentropic modified Chaplygin gas dynamics ⋮ The Riemann problem with delta initial data for the non-isentropic improved Aw-Rascle-Zhang model

Cites Work

• Unnamed Item
• New developments of delta shock waves and its applications in systems of conservation laws
• Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes
• Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
• Multidimensional shock interaction for a Chaplygin gas
• The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
• Two-Dimensional Riemann Problems for Chaplygin Gas
• Formation of singularities in one-dimensional Chaplygin gas
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas

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