The generalized Boltzmann equation solution and exponential trend to equilibrium
- 1 January 1997
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 26 (6), 661-677
- https://doi.org/10.1080/00411459708229329
Abstract
In the paper we consider a kinetic model that can be considered as a generalization of the Boltzmann equation. The model is formally derived from the BBGKY hierarchy for hard spheres system by introducing a variable diameter r in the domain [0, R] and then, by averaging the two-particle distribution function over this domain. For this model we prove global existence, uniqueness, and exponential convergence to equilibrium.Keywords
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