A mathematical PDE perspective on the Chapman–Enskog expansion

Saint-Raymond, Laure

doi:10.1090/S0273-0979-2013-01440-X

A mathematical PDE perspective on the Chapman–Enskog expansion
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Bull. Amer. Math. Soc. 51 (2014), 247-275 Request permission

Abstract:

This paper presents in a synthetic way some recent advances on hydrodynamic limits of the Boltzmann equation. It aims at bringing a new light to these results by placing them in the more general framework of asymptotic expansions of Chapman–Enskog type, and by discussing especially the issues of regularity and truncation.

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