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

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  • Maass, W.

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.

Suggested Citation

  • Maass, W., 1985. "Stability properties of a class kinetic equations including Boltzmann's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 539-550.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:3:p:539-550
    DOI: 10.1016/0378-4371(85)90148-7
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