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. The Kruzkov and Kuznetsov techniques are generalized to this method, and an error bound of order the squareroot of the mean free path is obtained.
Type de document :
Article dans une revue
International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, 2006, pp.1-15. 〈10.1155/IJMMS/2006/41510〉
https://hal.univ-antilles.fr/hal-00715494
Contributeur : Abdennebi Omrane
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Soumis le : dimanche 8 juillet 2012 - 01:05:19
Dernière modification le : mercredi 18 juillet 2018 - 20:11:27
Document(s) archivé(s) le : mardi 9 octobre 2012 - 02:20:23
Abdennebi Omrane. Error estimates for scalar conservation laws by a kinetic approach. International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, 2006, pp.1-15. 〈10.1155/IJMMS/2006/41510〉. 〈hal-00715494〉
