Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects

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	Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects
	Hsiao, L ; Li, HL
	2001-10-01
发表期刊	MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN	0218-2025
卷号	11 期号:7 页码:1143-1168
摘要	This paper is to study the asymptotic behavior of solutions for an initial-boundary value problem to Jin-Xin's 2 x 2 relaxation hyperbolic system. When the initial data are small perturbation of the superposition of two travelling waves at t = 0, subsequent to the previous work's we further show the convergence rates of the IBVP solutions to the superposition of two waves. Precisely, when the initial perturbations decay in the exponential or algebraic forms, we prove that the corresponding solutions tend to the superposition of two waves time-asymptotically in the exponential or algebraic forms, respectively. The method adopted is the weighted energy method. The use of a shift function for the forward travelling wave and the special choice of shift functions for backward travelling plays a key role to overcome the difficulties caused by the boundary and degeneration.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000171603600002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16289
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao, L
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.SISSA, I-34014 Trieste, Italy 3.Vienna Tech Univ, Inst Angew & Numer Math, A-1040 Vienna, Austria
推荐引用方式 GB/T 7714	Hsiao, L,Li, HL. Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2001,11(7):1143-1168.
APA	Hsiao, L,&Li, HL.(2001).Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,11(7),1143-1168.
MLA	Hsiao, L,et al."Convergence rates to superposition of two travelling waves of the solutions to a relaxation hyperbolic system with boundary effects".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 11.7(2001):1143-1168.