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

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.

arXiv comment18 pages

Cited by in corpus (1)

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