On the validity of Chapman-Enskog expansions for shock waves with small strength

Details On the validity of Chapman-Enskog expansions for shock waves with small strength On the validity of Chapman-Enskog expansions for shock waves with small strength

2008-12-20

arxiv.org/abs/0812.3985v1

Portugal. Math. 61 (2004). 479--499

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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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