Asymptotics of the solutions to the \(N\)-particle Kolmogorov-Feller equations and the asymptotics of the solution to the Boltzmann equation in the region of large deviations

DOI10.1007/BF02305000zbMath0855.46047OpenAlexW2064281013MaRDI QIDQ1922301

V. P. Maslov

Publication date: 28 August 1996

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02305000

zbMATH Keywords

Hamilton-Jacobi equationBoltzmann equationFock spaceHamilton equationsKolmogorov-Feller equationsmall transfer of momentumconservation of the total probabilityWKB asymptotic expansion

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of functional analysis in quantum physics (46N50)

Related Items

Logarithmic asymptotics of solutions of the large deviation problem for the Boltzmann equation with small transfer of momentum

Cites Work

• Asymptotics of the Kolmogorov-Feller equation for a system of a large number of particles
• An asymptotic formula for the \(N\)-particle density function as \(N\to \infty\) and a violation of the chaos hypothesis
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
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