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Existence theory of the linear equations appearing in the Chapman-Enskog solutions to two kinetic equations for liquids (1971)

Davis, H. Ted ; Baleiko, Marc O.

Springer

Journal of statistical physics 3 (1971), S. 47-68

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Details

ISSN: 1572-9613

Schlagwort(e): Kinetic theory ; nonequilibrium statistical mechanics ; Fokker-Planck and Rice-Allnatt equations ; existence theory for Chapman-Enskog solutions to kinetic equations

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract The linear operators appearing in the Chapman-Enskog solutions to Kirkwood's Fokker-Planck kinetic equation and to Rice and Allnatt's kinetic equation are studied in this article. Existence proofs are given for the linearized Chapman-Enskog equations involving either the Fokker-Planck or the Rice-Allnatt operators. It is shown that the Fokker-Planck and Rice-Allnatt operators, defined in the domain appropriate to kinetic theory, are essentially self-adjoint. It is also shown that the spectrum of either of these operators coincides with the spectrum of the self-adjoint extension of the corresponding operator.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01012187

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