The Structure of Shock Waves in Dissipative Hyperbolic Models

DOI10.1007/978-3-319-16637-7_13zbMath1327.35250OpenAlexW650356018MaRDI QIDQ5256001

Srboljub S. Simic

Publication date: 22 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16637-7_13

zbMATH Keywords

stabilityhyperbolic systemsrelaxationequilibrium statesshock structure

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60)

Cites Work

• Hyperbolic conservation laws with relaxation
• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• On modelling phase transitions by means of rate-type constitutive equations. Shock wave structure
• Saddle-node bifurcation of viscous profiles
• A thermodynamic theory of mixtures of fluids
• Shock structure in continuum models of gas dynamics: stability and bifurcation analysis
• A note on shock profiles in dissipative hyperbolic and parabolic models
• Maximisation of the entropy in non-equilibrium
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Shock Structure and Temperature Overshoot in Macroscopic Multi-temperature Model of Binary Mixtures
• On the hyperbolic system of a mixture of Eulerian fluids: a comparison between single‐ and multi‐temperature models
• On the kinetic theory of rarefied gases
• The profile of a steady plane shock wave
• Hyperbolic Conservation Laws in Continuum Physics
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