ERROR-ESTIMATES FOR OSCILLATORY SOLUTIONS TO HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS

被引：9

作者：

HEIBIG, A

机构：

[1] Ecole Normale Superieure de Lyon, 69 364 Lyon, Cedex 07

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 18卷 / 1-2期

关键词：

D O I：

10.1080/03605309308820931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with oscillatory solutions of one dimensional systems of conservation laws endowed with one linearly degenerate characteristic field. Recently, Weinan E (cf. [3]) and D. Serre (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.

引用

页码：281 / 304

页数：24

共 17 条

[1] OSCILLATION-PROPAGATION IN 2 TYPES OF HYPERBOLIC-SYSTEMS (2X2 AND 3X3) [J].