Global existence of shock front solution to 1-D Piston problem for compressible Euler equations

DOI10.1007/s00021-018-0399-9zbMath1406.35248OpenAlexW2892640894WikidataQ129198034 ScholiaQ129198034MaRDI QIDQ1756644

Min Ding

Publication date: 21 December 2018

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

Full work available at URL: https://doi.org/10.1007/s00021-018-0399-9

zbMATH Keywords

shock wavecompressible Euler equationsinteraction of wavesGlimm schemePiston problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (2)

Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System ⋮ Global Well-Posedness of Shock Front Solutions to One-Dimensional Piston Problem for Combustion Euler Flows

Cites Work

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• A multidimensional Piston problem for the Euler equations for compressible flow
• An Overview of Piston Problems in Fluid Dynamics
• Hyperbolic systems of conservation laws II
• GLOBAL EXISTENCE OF SHOCK FRONT SOLUTIONS TO THE AXIALLY SYMMETRIC PISTON PROBLEM FOR COMPRESSIBLE FLUIDS
• Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations
• Solutions in the large for nonlinear hyperbolic systems of equations

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