On the shock structure problem in non-equilibrium Thermodynamics of gases

DOI10.1080/00411459608220722zbMath0873.76039OpenAlexW1989062427MaRDI QIDQ3127497

Tommaso Ruggeri

Publication date: 26 May 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459608220722

zbMATH Keywords

hyperbolic systemsLax shockscharacteristic shockexistence of critical Mach numberFourier-Navier-Stokes fluidsnon-existence of \(C(1)\)-solutions

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (3)

An implicit Galerkin finite element Runge-Kutta algorithm for shock-structure investigations ⋮ Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics ⋮ On the shock thickness for a binary gas mixture

Cites Work

• Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems
• Galilean invariance and entropy principle for systems of balance laws
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Non existence of shock structure solutions for hyperbolic dissipative systems including characteristic shocks
• The profile of a steady plane shock wave
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