Small velocity and finite temperature variations in kinetic relaxation models

Peter A. Markowich, Ansgar Jüngel, Kazuo Aoki

Research output: Contribution to journalArticlepeer-review

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. © American Institute of Mathematical Sciences.
Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalKinetic and Related Models
Volume3
Issue number1
DOIs
StatePublished - Jan 21 2010
Externally publishedYes

Fingerprint Dive into the research topics of 'Small velocity and finite temperature variations in kinetic relaxation models'. Together they form a unique fingerprint.

Cite this