A renormalization method for the Chapman-Enskog expansion

✍ Scribed by M. Slemrod

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 843 KB
• Volume: 109
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00068-7

✦ Synopsis

This paper introduces a procedure for rewriting the well-known Chapman-Enskog expansion used in the kinetic theory of gases. The usual Chapman-Enskog procedure will exhibit instability of the rest state for some finite truncations of the expansion. The rewritten (renormalized) expansion eliminates truncation instabilities and suggests a method for summation of the expansion as a nonlocal (generally nonlinear) operator in space.