On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws

doi:10.1016/j.jde.2019.11.008

	On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
	Yuan, Qian 1; Yuan, Yuan 2,3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2020-04-15
卷号	268 期号:9 页码:5140-5155
关键词	Conservation laws Shock waves Rarefaction waves Periodic perturbations
ISSN号	0022-0396
DOI	10.1016/j.jde.2019.11.008
英文摘要	This paper is concerned with the large time behaviors of the entropy solutions to one-dimensional scalar convex conservation laws, of which the initial data are assumed to approach two arbitrary L-infinity periodic functions as x -> -infinity and x ->+infinity, respectively. We show that the solutions approach the Riemann solutions at algebraic rates as time increases. Moreover, a new discovery in this paper is that the difference between the two periodic perturbations at two infinities may generate a constant shift on the background shock wave, which is different from the result in [11], where the two periodic perturbations are the same. (C) 2019 Elsevier Inc. All rights reserved.
资助项目	Start-up Research Grant of South China Normal University[8S0328] ; Italy MIUR[PRIN 2015YCJY3A-004]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000514573100008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50937]
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Yuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Brescia, Sez Matemat, DICATAM, Via Valotti 9, I-25133 Brescia, Italy 3.South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Qian,Yuan, Yuan. On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,268(9):5140-5155.
APA	Yuan, Qian,&Yuan, Yuan.(2020).On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws.JOURNAL OF DIFFERENTIAL EQUATIONS,268(9),5140-5155.
MLA	Yuan, Qian,et al."On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws".JOURNAL OF DIFFERENTIAL EQUATIONS 268.9(2020):5140-5155.