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Pré-Publication, Document De Travail Année : 2004

On the Validity of Chapman-Enskog expansion for shock waves with small strength

Résumé

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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Dates et versions

hal-00003736 , version 1 (31-12-2004)

Identifiants

  • HAL Id : hal-00003736 , version 1

Citer

Nabil Bedjaoui, Christian Klingenberg, Philippe G. LeFloch. On the Validity of Chapman-Enskog expansion for shock waves with small strength. 2004. ⟨hal-00003736⟩
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