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

作　　者：刘红霞 潘涛 

机构地区：[1]Department of Mathematics, Jinan University

出　　处：《Acta Mathematica Scientia》2009年第1期111-128,共18页数学物理学报（B辑英文版）

基　　金：supported by the NSF China#10571075;NSF-Guangdong China#04010473;The research of the second author was supported by Jinan University Foundation#51204033;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State education Ministry#2005-383

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 ...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 ...

关 键 词：Scalar conservation laws with boundary vanishing viscosity approximations error estimate pointwise convergence rate transport inequality 

分 类 号：O175.8[理学—数学]