Microscopic solutions of the Boltzmann-Enskog equation in the series representation

DOI10.3934/krm.2018036zbMath1405.82015arXiv1802.05926OpenAlexW2787544320MaRDI QIDQ1715957

Sergio Simonella, Mario Pulvirenti, Anton S. Trushechkin

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05926

zbMATH Keywords

hard sphereskinetic theory of gasesempirical measuremicroscopic solutionsBoltzmann-Enskog equation

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Boltzmann equations (35Q20)

Related Items (1)

Propagation of correlations in a hard-sphere system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From Newton to Boltzmann: hard spheres and short-range potentials
• Microscopic solutions of kinetic equations and the irreversibility problem
• The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error
• The propagation of chaos for a rarefied gas of hard spheres in the whole space
• Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation
• The mathematical theory of dilute gases
• From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit
• Derivation of the particle dynamics from kinetic equations
• Hard sphere dynamics and the Enskog equation
• On the asymptotic equivalence between the Enskog and the Boltzmann equations.
• Microscopic and soliton-like solutions of the Boltzmann-Enskog and generalized Enskog equations for elastic and inelastic hard spheres
• Linear diffusive limit of deterministic systems of hard spheres
• Evolution of correlation functions in the hard sphere dynamics
• On the evolution of the empirical measure for the Hard-Sphere dynamics
• FUNCTIONAL MECHANICS AND KINETIC EQUATIONS
• Time evolution of large classical systems
• On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
• On the validity of the Boltzmann equation for short range potentials
• One-sided convergence in the Boltzmann–Grad limit

This page was built for publication: Microscopic solutions of the Boltzmann-Enskog equation in the series representation