The Boltzmann equation for persistent scattering models

E.M. Hendriks and M.H. Ernst

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 1, 101-118

Abstract: The nonlinear Boltzmann equation (N.L.B.E.) for the persistent scattering model of Futcher and Hoare can be completely solved by a straightforward application of the Fourier transform method for general Maxwell models. It then follows: (i) that the N.L.B.E. for this model possesses the Bobylev-Krook-Wu mode as a special similarity solution; (ii) that all solutions lying inside a certain Hilbert space can be given in the form of an expansion in eigenfunctions of the linearized Boltzmann equation, the coefficients of which can be determined recursively; (iii) that the Cornille-Gervois solutions-lying outside the above Hilbert space-can be constructed not only for the persistent scattering model, but also for a general class of Maxwell models.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:1:p:101-118

DOI: 10.1016/0378-4371(82)90210-2

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