error estimates for scalar conservation laws by a kinetic approach
;A. Omrane
structural engineering and mechanics2006Vol. 2006pp. -
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.