POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY

被引：0

作者：

刘红霞

潘涛

机构：

[1] DepartmentofMathematics,JinanUniversity

来源：

Acta Mathematica Scientia | 2009年 / 29卷 / 01期

关键词：

Scalar conservation laws with boundary; vanishing viscosity approximations; error estimate; pointwise convergence rate; transport inequality;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary.By the weighted error function and a bootstrap extrapolation technique introduced by Tadmor-Tang,an optimal pointwise convergence rate is derived for the vanishing viscosity approximations to the initial-boundary value problem for scalar convex conservation laws,whose weak entropy solution is piecewise C 2 -smooth with interaction of elementary waves and the boundary. The analysis method in this article can be used to deal with the case in which the piecewise smooth solutions of inviscid have finitely many waves with possible all kinds of interaction with the boundary.

引用

页码：111 / 128

页数：18

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