Error estimates for scalar conservation laws by a kinetic approach (Q885613)
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scientific article; zbMATH DE number 5164274
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| English | Error estimates for scalar conservation laws by a kinetic approach |
scientific article; zbMATH DE number 5164274 |
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Error estimates for scalar conservation laws by a kinetic approach (English)
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14 June 2007
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Summary: We use the kinetic approach of \textit{B. Perthame} and \textit{E. Tadmor} [Commun. Math. Phys. 136, No. 3, 501--517 (1991; Zbl 0729.76070)] to calculate the error estimates for general scalar conservation laws governing problems in gas dynamics or fluid mechanics in general. The Kružkov and Kuznetsov techniques are generalized to this method, and an error bound of order \(\sqrt {\varepsilon} \) (where \(\varepsilon \) is the mean free path) is obtained.
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Kružkov technique
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Kuznetsov technique
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