Fractional rate of convergence for viscous approximation to nonconvex conservation laws

doi:10.1137/S0036141001388993

Details of Research Outputs

Status	已发表Published
Title	Fractional rate of convergence for viscous approximation to nonconvex conservation laws
Creator	Tang, Tao1 ; Teng, Zhenhuan 2; Xin, Zhouping 3,4
Date Issued	2004
Source Publication	SIAM Journal on Mathematical Analysis
ISSN	0036-1410
Volume	35 Issue:1 Pages:98-122
Abstract	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.
Keyword	Conservation law Error estimate Nonconvex flux Rate of convergence Viscous approximation
DOI	10.1137/S0036141001388993
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000184443600004
Citation statistics	Cited Times:10[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/2115
Collection	Research outside affiliated institution
Corresponding Author	Tang, Tao
Affiliation	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
Recommended Citation 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.

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