Stability properties of a class kinetic equations including Boltzmann's equation

W. Maass

Physica A: Statistical Mechanics and its Applications, 1985, vol. 133, issue 3, 539-550

Abstract: A discrete version of Boltzmann's equation is embedded in a class of kinetic equations applying the method of the Moore-Penrose generalized inverse. By means of a family of Lyapunov functionals characterizing the stability properties of this class, we calculate a set of regions of attraction (with respect to the equilibrium distribution) inferring positivity of the solutions and a certain permanence of truncations (e.g. linearization) of the kinetic equations.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:133:y:1985:i:3:p:539-550

DOI: 10.1016/0378-4371(85)90148-7

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