THE LINEARIZATION OF A BOUNDARY VALUE PROBLEM FOR A SCALAR CONSERVATION LAW

被引：2

作者：

Caetano, Filipa ^{[1
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2008年 / 6卷 / 03期

关键词：

Scalar conservation laws; linearization; boundary value problem; shocks; measure solutions;

D O I：

10.4310/CMS.2008.v6.n3.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study a boundary value problem for a linear scalar equation with discontinuous coefficients. This kind of problem appears in the framework of the analysis of the linearized stability of a fluid flow with respect to small perturbations of the boundary data. The linear equation that we are interested in is obtained by linearizing the equations which govern the flow, and involves discontinuous coefficients and nontrivial products. We present a direct approach based on the one introduced by Godlewski and Raviart, which leads to measure solutions, gives a sense of these nontrivial products, and yields simple numerical schemes that give good results.

引用

页码：651 / 667

页数：17