Asymptotic stability of solutions with strong discontinuities for the equations of isothermal gas dynamics

DOI10.1007/BF03167231zbMath0811.35076OpenAlexW2017733579MaRDI QIDQ1343499

Fumioki Asakura

Publication date: 8 May 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/bf03167231

zbMATH Keywords

Riemann problemgeneralized characteristicsisothermal gas dynamicsstrong shock wavesGlimm difference schemeinitial data with bounded total variation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65)

Cites Work

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• Hyperbolic systems of conservation laws II
• Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities
• Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
• Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Decay of solutions of systems of nonlinear hyperbolic conservation laws

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