A stochastic particle system modeling the Carleman equation

DOI10.1007/BF01041601zbMath0713.60108MaRDI QIDQ750017

Anna De Masi, Mario Pulvirenti, Silvia Caprino, Errico Presutti

Publication date: 1989

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

zbMATH Keywords

Boltzmann-Grad limitpropagation of chaosstochastic interacting particle systemsCarleman equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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A system of stochastic differential equations modeling the Euler and the Navier-Stokes hydrodynamic equations ⋮ A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation ⋮ A derivation of the Broadwell equation ⋮ Many particles dynamical system formulation for the discrete Enskog gas

Cites Work

• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• The central limit theorem for Carleman's equation
• On the Boltzmann-Grad limit for the Broadwell model of the Boltzmann equation.
• Global existence for two‐velocity models of the Boltzmann equation
• Time evolution of large classical systems

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