Propagation of discontinuities along bicharacteristics in the unsteady flow of a relaxing gas

DOI10.1007/BF02861997zbMath0465.76062OpenAlexW1988725940MaRDI QIDQ1154885

V. D. Sharma, Radhe Shyam

Publication date: 1980

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02861997

zbMATH Keywords

three-dimensionalunsteady flowRiccati type equationlinear damping termstrong equilibriumcharacteristic coordinateswave front of arbitrary shaperelaxing gasabsence of viscosity, heat conduction and body forcesdiverging and converging expansive or compressive wavesgrowth or decaynonlinear steepening termpropagation of discontinuities along bicharacteristicsset of hyperbolic quasilinear first order partial differential equationsweak equilibrium

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic equations and hyperbolic systems (35L99)

Cites Work

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• On the propagation of sonic discontinuities in the unsteady flow of a perfect gas
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• The general theory of compatibility conditions
• Acceleration and higher order waves in a mixture of chemically reacting elastic materials
• Non-linear wave propagation with applications to physics and magnetohydrodynamics

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