Asymptotic stability of some nonlinear Boltzmann-type equations

DOI10.1006/jmaa.2001.7834zbMath1042.35056OpenAlexW2008590524MaRDI QIDQ1604244

Andrzej Lasota

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7834

zbMATH Keywords

exponential stabilitystationary solutionenergy distributionZolotarev metric

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

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• Differential equations on convex sets
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• IDEAL METRICS IN THE PROBLEMS OF PROBABILITY THEORY AND MATHEMATICAL STATISTICS
• General solution of a Boltzmann equation, and the formation of Maxwellian tails
• Exact solutions of the Boltzmann equation
• Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
• Mass transhipment problems and ideal metrics

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