Preprint 2004-072

On the Validity of the Chapman-Enskog Expansion for Shock Waves with Small Strength

N. Bedjaoui, C. Klingenberg, and P.G. LeFloch

Abstract: We justify a Chapman-Enskog expansion for discontinuous solutions of hyperbolic conservation laws containing shock waves with small strength. Precisely, we establish pointwise uniform estimates for the difference between the traveling waves of a relaxation model and the traveling waves of the corresponding diffusive equations determined by a Chapman-Enskog expansion procedure to first- or second-order.

Available as PDF (192 Kbytes).
N. Bedjaoui
C. Klingenberg
P.G. LeFloch, <>
Publishing information:
To appear in Portugaliae Mathematica
Submitted by:
<> December 31 2004.

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