error estimates for scalar conservation laws by a kinetic approach

error estimates for scalar conservation laws by a kinetic approach

;A. Omrane
structural engineering and mechanics 2006 Vol. 2006 pp. -
133
omrane2006internationalerror

Abstract

We use the kinetic approach of Perthame and Tadmor (1991) 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 ε (where ε is the mean free path) is obtained.

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176349
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10.1155/IJMMS/2006/41510
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