Fractional rate of convergence for viscous approximation to nonconvex conservation laws

doi:10.1137/S0036141001388993

科研成果详情

发表状态	已发表Published
题名	Fractional rate of convergence for viscous approximation to nonconvex conservation laws
作者	Tang, Tao1 ; Teng, Zhenhuan 2; Xin, Zhouping 3,4
发表日期	2004
发表期刊	SIAM Journal on Mathematical Analysis
ISSN/eISSN	0036-1410
卷号	35 期号:1 页码:98-122
摘要	This paper considers the viscous approximations to conservation laws with nonconvex flux function. It is shown that if the entropy solutions are piecewise smooth, then the rate of L 1-convergence is a fractional number in (0.5, 1]. This is in contrast to the corresponding result for the convex conservation laws. Numerical experiments indicate that the theoretical prediction for the convergence rate is optimal.
关键词	Conservation law Error estimate Nonconvex flux Rate of convergence Viscous approximation
DOI	10.1137/S0036141001388993
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000184443600004
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2115
专题	个人在本单位外知识产出
通讯作者	Tang, Tao
作者单位	1.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 2.School of Mathematical Sciences, Peking University, Beijing 100871, China 3.Courant Inst. of Math. Sciences, New York University, New York, NY, United States 4.Department of Mathematics, Institute of Mathematical Sciences, Chinese University of Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Tang, Tao,Teng, Zhenhuan,Xin, Zhouping. Fractional rate of convergence for viscous approximation to nonconvex conservation laws[J]. SIAM Journal on Mathematical Analysis, 2004, 35(1): 98-122.
APA	Tang, Tao, Teng, Zhenhuan, & Xin, Zhouping. (2004). Fractional rate of convergence for viscous approximation to nonconvex conservation laws. SIAM Journal on Mathematical Analysis, 35(1), 98-122.
MLA	Tang, Tao,et al."Fractional rate of convergence for viscous approximation to nonconvex conservation laws". SIAM Journal on Mathematical Analysis 35.1(2004): 98-122.