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

✍ Scribed by Ester Gabetta; Benoît Perthame

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
147 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The Ruijgrok–Wu model of the kinetic theory of rarefied gases is investigated both in the fluid‐dynamic and hydro‐dynamic scalings. It is shown that the first limit equation is a first order quasilinear conservation law, whereas the limit equation in the diffusive scaling is the viscous Burgers equation. The main difficulties came from initial layers that we handle here. Copyright © 2001 John Wiley & Sons, Ltd.

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