Mutual diffusion coefficient models for polymer-solvent systems based on the Chapman-Enskog theory

Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog.

We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green-Kubo relation and the Chapman-Enskog approach. The dissipative particle collisions are described by the coefficient of restitution epsilon which for realistic material properties depends on the impact velocity. First, we consider self-diffusion using a constant coefficient...

Generation of the Chapman–Enskog Distribution

Multi-Component Diffusion in Polymer-Solvent Systems

The Regularized Chapman-Enskog Expansion for Scalar Conservation Laws

ROSENAO [R] has recently proposed a regularized version of the ChapmanEnskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at low wave numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator. In this paper we study the behavior of the Rosenau regularization o...

A Mathematical Pde Perspective on the Chapman–enskog Expansion

This paper presents in a synthetic way some recent advances on hydrodynamic limits of the Boltzmann equation. It aims at bringing a new light to these results by placing them in the more general framework of asymptotic expansions of Chapman–Enskog type, and by discussing especially the issues of regularity and truncation. The present article is one of two companion papers on the Chapman–Enskog ...