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

German abstract:
Siehe englisches Abstract.

Kinetic equation; diffusive limit; Gibbs state

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.