Publications in Scientific Journals:
K. Aoki, A. Jüngel, P. Markowich:
"Small velocity and finite temperature variations in kinetic relaxation models";
Kinetic and Related Models,
3
(2010),
1;
1
- 15.
English abstract:
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.
German abstract:
Siehe englisches Abstract.
Keywords:
Kinetic equation; diffusive limit; Gibbs state
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.3934/krm.2010.3.1
Created from the Publication Database of the Vienna University of Technology.