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arXiv · 0812.3985

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

Nabil Bedjaoui·Christian Klingenberg·Philippe G. LeFloch
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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.

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Nabil Bedjaoui, Christian Klingenberg, Philippe G. LeFloch. 2008-12-20. On the validity of Chapman-Enskog expansions for shock waves with small strength. https://arxiv.org/abs/0812.3985

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