Contributions to Books:
K. Aoki, A. Jüngel, P. Markowich:
"Small velocity and finite temperature variations in kinetic relaxation models";
in: "ASC Report 46/2009",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
A small Knuden number analysis of a kinetic equation in the diffusive
scaling is performed. The collision kernel is of BGK type with a general
local Gibbs state.
Assuming that the flow velocity is of the order of the Knudsen number,
a Hilbert expansion yields a macroscopic model with finite temperature
variations, whose complexity lies in between
the hydrodynamic and the energy-transport equations.
Its mathematical structure is explored and macroscopic models for
specific examples of the global Gibbs state are presented.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.