Convergence rates to discrete shocks for nonconvex conservation laws

CSpace

	Convergence rates to discrete shocks for nonconvex conservation laws
	Liu, HL ; Wang, JH ; Warnecke, G
	2001-05-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	88 期号:3 页码:513-541
摘要	This paper is concerned with polynomial decay rates of perturbations to stationary discrete shocks for the Lax-Friedrichs scheme approximating non-convex scalar conservation laws, We assume that the discrete initial data tend to constant states as j --> +/- infinity, respectively, and that the Riemann problem for the corresponding hyperbolic equation admits a stationary shock wave. If the summation of the initial perturbation over (- infinity , j) is small and decays with an algebraic rate as /j/ --> infinity, then the perturbations to discrete shocks are shown to decay with the corresponding rate as n --> infinity. The proof is given by applying weighted energy estimates. A discrete weight function, which depends on the space-time variables for the decay rate and the state of the discrete shocks in order to treat the non-convexity, plays a crucial role.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000169026300005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16280
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HL
作者单位	1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Magdeburg, IAN, D-39016 Magdeburg, Germany
推荐引用方式 GB/T 7714	Liu, HL,Wang, JH,Warnecke, G. Convergence rates to discrete shocks for nonconvex conservation laws[J]. NUMERISCHE MATHEMATIK,2001,88(3):513-541.
APA	Liu, HL,Wang, JH,&Warnecke, G.(2001).Convergence rates to discrete shocks for nonconvex conservation laws.NUMERISCHE MATHEMATIK,88(3),513-541.
MLA	Liu, HL,et al."Convergence rates to discrete shocks for nonconvex conservation laws".NUMERISCHE MATHEMATIK 88.3(2001):513-541.