A new method to exploit the entropy principle and Galilean invariance in the macroscopic approach of extended thermodynamics

DOI10.1007/s11587-006-0019-5zbMath1378.74006OpenAlexW2005541466MaRDI QIDQ997613

Tommaso Ruggeri, Sebastiano Pennisi

Publication date: 7 August 2007

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

Full work available at URL: https://doi.org/10.1007/s11587-006-0019-5

zbMATH Keywords

extended thermodynamicsentropy principleGalilean invariancehyperbolic systemrarefied gas

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) First-order nonlinear hyperbolic equations (35L60) Theory of constitutive functions in solid mechanics (74A20)

Related Items

Extended thermodynamics of dense gases with at least 24 moments, A numberable set of exact solutions for the macroscopic approach to extended thermodynamics of polyatomic gases with many moments, A Kinetic Type Exact Solution for Extended Thermodynamics of Dense Gases with Many Moments, Relativistic extended thermodynamics from the Lagrangian view-point, Extended thermodynamics of dense gases in the presence of dynamic pressure, The Lagrangian view-point compared with the Eulerian one, in the framework of extended thermodynamics, A Lagrangian approach to extended thermodynamics of relativistic fluids, Some open problems in nonlinear extended thermodynamics and their possible solutions, Entropy principle and Galilean relativity for dense gases, the general solution without approximations

Cites Work

• Unnamed Item
• Extended thermodynamics of classical and degenerate ideal gases
• Galilean invariance and entropy principle for systems of balance laws
• A fourth order approach to relativistic extended thermodynamics
• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• Moment equations in the kinetic theory of gases and wave velocities
• On the kinetic theory of rarefied gases