Abstract
A kinetic equation for the motion of solid particles in a liquid or gas is derived on the basis of the Fokker-Planck-Kolmogorov diffusion equation for the N particle distribution function. It is shown that, under appropriate assumptions, Bogolyubov's method can also be applied to equations of diffusion type. The obtained kinetic equation is a generalization of the one proposed earlier in [1].
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 128–132, January–February, 1980.
I thank V. P. Myasnikov for suggesting the problem and for helpful discussions.
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Yankov, Y.D. Kinetic theory of disperse systems. Fluid Dyn 15, 104–108 (1980). https://doi.org/10.1007/BF01089821
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DOI: https://doi.org/10.1007/BF01089821