Maximum entropy principle closure for 14-moment system for a non-polytropic gas

DOI10.1007/S11587-020-00510-YzbMath1468.76060OpenAlexW3015938836MaRDI QIDQ2037920

Tommaso Ruggeri

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1007/s11587-020-00510-y

zbMATH Keywords

Cauchy problemwell-posednessBoltzmann equationmaximum entropy principlevariational methodhyperbolic systemextended non-equilibrium thermodynamics

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Variational methods applied to problems in fluid mechanics (76M30) First-order nonlinear hyperbolic equations (35L60) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

Polytropic gas modelling at kinetic and macroscopic levels ⋮ Relativistic kinetic theory of polyatomic gases: classical limit of a new hierarchy of moments and qualitative analysis ⋮ Shock structure in extended thermodynamics with second-order maximum entropy principle closure ⋮ Classical limit of relativistic moments associated with Boltzmann-Chernikov equation: optimal choice of moments in classical theory

Cites Work

• Unnamed Item
• Recent results on nonlinear extended thermodynamics of real gases with six fields. I: General theory
• Galilean invariance and entropy principle for systems of balance laws
• Extended thermodynamics of dense gases
• Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics
• Non-Linear Maximum Entropy Principle for a Polyatomic Gas subject to the Dynamic Pressure
• The BGK model for an ideal gas with an internal degree of freedom
• Rational Extended Thermodynamics beyond the Monatomic Gas
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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