Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions

DOI10.1007/s00440-013-0530-zzbMath1319.60041arXiv1206.5147OpenAlexW2151994269WikidataQ123158363 ScholiaQ123158363MaRDI QIDQ466901

Emanuele Dolera, Eugenio Regazzini

Publication date: 31 October 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5147

zbMATH Keywords

Boltzmann equationcentral limit theoremrandom measureMaxwellian moleculesBerry-Esseen inequalities

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random measures (60G57) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (5)

Solutions to complex smoothing equations ⋮ Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels ⋮ Central limit theorem in uniform metrics for generalized Kac equations ⋮ Complete characterization of convergence to equilibrium for an inelastic Kac model ⋮ Probabilistic view of explosion in an inelastic Kac model

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