Entropy principle for the moment systems of degree \(\alpha\) associated to the Boltzmann equation. Critical derivatives and non-controllable boundary data

DOI10.1007/S001610100060zbMath1039.76059OpenAlexW1992961938MaRDI QIDQ1597658

Francesca Brini, Tommaso Ruggeri

Publication date: 30 May 2002

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001610100060

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (15)

A method of differential iteration for boundary value problems in extended thermodynamics ⋮ Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments ⋮ Moment closure approximations of the Boltzmann equation based on \(\varphi \)-divergences ⋮ Determination of boundary conditions in extended thermodynamics via fluctuation theory ⋮ An exact fluid model for relativistic electron beams ⋮ Moment equations for polyatomic gases ⋮ Recent developments in extended thermodynamics of dense and rarefied polyatomic gases ⋮ Shock structure in extended thermodynamics with second-order maximum entropy principle closure ⋮ Monatomic gas as a singular limit of polyatomic gas in molecular extended thermodynamics with many moments ⋮ Heat transfer in a binary gas mixture between two parallel plates: an application of linear extended thermodynamics ⋮ Second-order approximation of extended thermodynamics of a monatomic gas and hyperbolicity region ⋮ Extended thermodynamics of real gases with dynamic pressure: an extension of Meixners theory ⋮ Maxwellian iteration of a causal relativistic model of polyatomic gases and evaluation of bulk, shear viscosity and heat conductivity ⋮ New extended thermodynamics balance equations for an electron gas confined in a metallic body ⋮ Shock structure in the 14 moment system of extended thermodynamics with high order closure based on the maximum entropy principle

This page was built for publication: Entropy principle for the moment systems of degree \(\alpha\) associated to the Boltzmann equation. Critical derivatives and non-controllable boundary data