Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime

DOI10.1142/S0218202515500256zbMath1314.35077arXiv1408.6571OpenAlexW2964195861MaRDI QIDQ5247102

Tetsuro Tsuji, Sergio Simonella, Kazuo Aoki, Mario Pulvirenti

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6571

zbMATH Keywords

homogeneous Boltzmann equationlow-density gasbackward clusterBoltzmann hierarchy

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (7)

A kinetic model for epidemic spread ⋮ Low-density asymptotic behavior of observables of hard sphere fluids ⋮ A kinetic equation for the distribution of interaction clusters in rarefied gases ⋮ Boltzmann–Grad asymptotic behavior of collisional dynamics ⋮ The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error ⋮ Kinetic theory of cluster dynamics ⋮ On the cardinality of collisional clusters for hard spheres at low density

Cites Work

• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• On the spatially homogeneous Boltzmann equation
• Some applications of the method of moments for the homogeneous Boltzmann and Kac equations
• A Maxwellian lower bound for solutions to the Boltzmann equation
• Time evolution of large classical systems
• Central limit theorem for Maxwellian molecules and truncation of the wild expansion
• On the kinetic theory of rarefied gases

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