2007•Unpublished venueRequires access

DIFFUSIVE PROPERTY OF THE FOKKER-PLANCK-BOLTZMANN EQUATION

Hai-Liang Li

Abstract

Dedicated to Professor Yoshio Sone for his seventieth birthday We consider the Fokker-Planck-Boltzmann equation consisting of the Boltzmann equation with an additional diffusion term in velocity space to simulate for instance the transport in thermal bath of binary elastic collisional particles, and investigate the (macroscopic) diffusion properties of solutions in large time. 1.

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Key concepts: Fokker–Planck equation, Boltzmann equation, Boltzmann constant, Physics, Diffusion, Statistical physics, Lattice Boltzmann methods, Convection–diffusion equation