On the Validity of the Chapman-Enskog Expansion for Shock Waves with Small Strength
N. Bedjaoui, C. Klingenberg, and P.G. LeFloch
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.
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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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