Investigation of the stability of Boltzmann's collision equation by a family of Lyapunov functionals

W. Maass

Physica A: Statistical Mechanics and its Applications, 1977, vol. 89, issue 2, 411-418

Abstract: For Boltzmann's equation a continuous family of Lyapunov functionals (entropy-like functionals) is established which imply under suitable boundary conditions uniform equi-boundedness of the solutions and (uniform) asymptotic stability in the large and integral stability of the equilibrium solution. Boltzmann's H-functional is shown to be an element of this family.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:89:y:1977:i:2:p:411-418

DOI: 10.1016/0378-4371(77)90115-7

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