Free piston problem for isentropic gas dynamics

DOI10.1007/BF03167287zbMath0833.76065OpenAlexW2078884646MaRDI QIDQ1901175

Shigeharu Takeno

Publication date: 5 November 1995

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167287

zbMATH Keywords

convergenceapproximate solutionexistence of generalized solutioncompensated compactness theoryGodunov difference approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15)

Related Items (6)

On a free piston problem for potential ideal fluid flow ⋮ The Riemann problem for isentropic compressible Euler equations with discontinuous flux ⋮ Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows ⋮ Note on evolutionary free piston problem for Stokes equations with slip boundary conditions ⋮ Hyperbolic free boundary problems and applications to wave-structure interactions ⋮ An Overview of Piston Problems in Fluid Dynamics

Cites Work

• Convergence of the viscosity method for isentropic gas dynamics
• Convergence of approximate solutions to conservation laws
• The free piston problem for gas dynamics
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Hyperbolic systems of conservation laws II
• Initial boundary value problems for isentropic gas dynamics
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws
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