Derivation of the particle dynamics from kinetic equations

DOI10.1134/S2070046612020057zbMath1253.82069arXiv1201.3607OpenAlexW2078909163MaRDI QIDQ1760317

Anton S. Trushechkin

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3607

zbMATH Keywords

Boltzmann equationkinetic equationsmicroscopic solutionsBoltzmann-Enskog equationreversibility paradox

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) PDEs in connection with statistical mechanics (35Q82)

Related Items (2)

Microscopic solutions of the Boltzmann-Enskog equation in the series representation ⋮ Microscopic solutions of kinetic equations and the irreversibility problem

Cites Work

• Functional classical mechanics and rational numbers
• Functional mechanics: evolution of the moments of distribution function and the Poincaré recurrence theorem
• On functional approach to classical mechanics
• On the asymptotic equivalence between the Enskog and the Boltzmann equations.
• Bogoliubov equations and functional mechanics
• Randomness in classical mechanics and Quantum mechanics
• On the Boltzmann equation for rigid spheres
• Time evolution of large classical systems
• On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
• Newa prioriestimate for the Boltzmann–Enskog equation
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