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

On the validity of Chapman-Enskog expansions for shock waves with small strength (Q1769306)

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On the validity of Chapman-Enskog expansions for shock waves with small strength
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    On the validity of Chapman-Enskog expansions for shock waves with small strength (English)
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    21 March 2005
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    Summary: 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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    discontinuous solutions
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    pointwise uniform estimates
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