Shock structure and multiple sub-shocks in Grad 10-moment binary mixtures of monoatomic gases

DOI10.1007/s11587-018-0421-9zbMath1431.35095OpenAlexW2888540246WikidataQ129398359 ScholiaQ129398359MaRDI QIDQ2281530

Angela Ricciardello, Valeria Artale, Giorgio Martalò, Fiammetta Conforto

Publication date: 3 January 2020

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-018-0421-9

zbMATH Keywords

Riemann problemRankine-Hugoniot conditionsmixtures of gasessub-shock formationGrad 10 moment approximation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Hyperbolic equations on manifolds (58J45) Boltzmann equations (35Q20)

Related Items (5)

Shock structure solutions of Grad 13-moment equations for binary gas mixtures ⋮ The evaporation-condensation problem for a binary mixture of rarefied gases ⋮ Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics ⋮ Sub-shock formation in shock structure of a binary mixture of polyatomic gases ⋮ On the shock thickness for a binary gas mixture

Cites Work

• Shock wave structure of multi-temperature Euler equations from kinetic theory for a binary mixture
• Sub-shock formation in Grad 10-moment equations for a binary gas mixture
• Non-oscillatory central differencing for hyperbolic conservation laws
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• On the shock structure problem for hyperbolic system of balance laws and convex entropy
• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• Grad's distribution functions in the kinetic equations for a chemical reaction
• Shock structure and multiple sub-shocks in binary mixtures of Eulerian fluids
• Central Schemes for Balance Laws of Relaxation Type
• Shock structure in continuum models of gas dynamics: stability and bifurcation analysis
• Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
• Non existence of shock structure solutions for hyperbolic dissipative systems including characteristic shocks
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