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VOLUME 51 (1990) | ISSUE 11 | PAGE 569
Kinetic description of hydrodynamic motion: Entropy balance and hydrodynamic fluctuations with self-diffusion
A kinetic equation which incorporates small-scale and large-scale fluctuations simultaneously is proposed for use in deriving hydrodynamic equations for arbitrary Reynolds numbers. A perturbation theory is constructed in the reciprocal of the number of particles in a physically infinitesimal volume. An entropy balance equation and fluctuation spectra are derived; self-diffusion is taken into account.