Exact stationary and non-stationary solutions to inelastic Maxwell model with infinite energy

DOI10.1007/s10955-016-1643-4zbMath1360.82079OpenAlexW2546917627MaRDI QIDQ523253

Oleg Ilyin

Publication date: 20 April 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-016-1643-4

zbMATH Keywords

inelastic Boltzmann equationgeneralized stable lawsinelastic Maxwell model

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Integro-partial differential equations (35R09)

Cites Work

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• Infinite energy solutions to inelastic homogeneous Boltzmann equations
• Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas
• Exact eternal solutions of the Boltzmann equation
• Self-similar solutions of the Boltzmann equation and their applications
• Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
• Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
• On a functional equation generalizing the class of semistable distributions
• Certain class of infinitely divisble characteristic functions
• Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
• Nontrivial velocity distributions in inelastic gases
• Kinetic Theory of Granular Gases
• ON LÉVY STABLE AND SEMISTABLE DISTRIBUTIONS

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