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

DOI10.1007/BF02307197zbMath1027.35105OpenAlexW1995919932MaRDI QIDQ1282511

V. P. Maslov, Alexander M. Chebotarev

Publication date: 13 January 2004

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

Full work available at URL: https://doi.org/10.1007/bf02307197

zbMATH Keywords

Cauchy problemBoltzmann equationlogarithmic asymptoticslarge deviation problemLaplace asymptoticsmall transfer of momentumWKB-expansion

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• An asymptotic formula for the \(N\)-particle density function as \(N\to \infty\) and a violation of the chaos hypothesis
• 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
• Note on the Asymptotic Behavior of Multidimensional Laplace Integrals
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
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