ISSN:
1572-9613
Keywords:
Kinetic theory
;
nonequilibrium statistical mechanics
;
Fokker-Planck and Rice-Allnatt equations
;
existence theory for Chapman-Enskog solutions to kinetic equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01012187
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