General entropic approximations for canonical systems described by kinetic equations

DOI10.1007/s10955-011-0130-1zbMath1215.82038OpenAlexW2074018549MaRDI QIDQ633118

Vincent Pavan

Publication date: 31 March 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0130-1

zbMATH Keywords

kinetic theoryentropy minimizationBGK operators

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05)

Related Items (4)

Moment closure approximations of the Boltzmann equation based on \(\varphi \)-divergences ⋮ On the Five-Moment Maximum Entropy System of One-Dimensional Boltzmann Equation ⋮ Entropy bounds for the space-time discontinuous Galerkin finite element moment method applied to the BGK-Boltzmann equation ⋮ Predicting continuum breakdown with deep neural networks

Cites Work

• A new momentum equation for gas flow in porous media: the Klinkenberg effect seen through the kinetic theory
• The Boltzmann equation and its applications
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Moment closure hierarchies for kinetic theories.
• Domain of definition of Levermore's five-moment system
• MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS
• Entropic approximation in kinetic theory
• Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities
• Convex Analysis
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Convergence of a discrete-velocity model for the Boltzmann-BGK equation

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