Error estimates for oscillatory solutions to hyperbolic systems of conservation laws
Arnaud Heibig · Communications in Partial Differential Equations · 1993
This paper deals with oscillatory solutions of one dimensional syterns of conservation laws endowed with one linearly degenerate characteristic field. Recently, Weinan E (cf. [3]) and D. Sene (cf. [11]) derived a system of homogenized equations, by using a multiple scale analysis. Our goal is to prove rigourous error estimates in order to justify the validity of these equations, at least when initial data are smooth.