Scaling limits for the Ruijgrok-Wu model of the Boltzmann equation

Authors
Gabetta, E Perthame, B
Citation
E. Gabetta et B. Perthame, Scaling limits for the Ruijgrok-Wu model of the Boltzmann equation, MATH METH A, 24(13), 2001, pp. 949-967
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
24
Issue
13
Year of publication
2001
Pages
949 - 967
Database
ISI
SICI code
0170-4214(20010910)24:13<949:SLFTRM>2.0.ZU;2-Z
Abstract
The Ruijgrok-Wu model of the kinetic theory of rarefied gases is investigat ed both in the fluid-dynamic and hydro-dynamic scalings. It is shown that t he first limit equation is a first order quasilinear conservation law, wher eas the limit equation in the diffusive scaling is the viscous Burgers equa tion. The main difficulties came from initial layers that we handle here. C opyright (C) 2001 John Wiley & Sons, Ltd.