On the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation

V. C. Boffi; V. Protopopescu; G. Spiga

doi:10.1016/0378-4371(90)90203-5

On the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation

V. C. Boffi, V. Protopopescu, G. Spiga

Computational Sciences & Engineering Div

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We prove the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation, and we discuss in more detail the features of the scattering kernel formulation in both the deterministic and the stochastic versions.

Original language	English
Pages (from-to)	400-410
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	164
Issue number	2
DOIs	https://doi.org/10.1016/0378-4371(90)90203-5
State	Published - Apr 1 1990

Funding

We acknowledge the partial support of C.N.R.'s National Group for Mathematical Physics, Project PS-MMAI for V.C.B. and G.S. and C.N.R.'s Visiting Professor Program for V.P.

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10.1016/0378-4371(90)90203-5

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abstract = "We prove the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation, and we discuss in more detail the features of the scattering kernel formulation in both the deterministic and the stochastic versions.",

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On the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation

Abstract

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