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	Traveling wave to a reaction-hyperbolic system for axonal transport
	Huang, Feimin1,2; Li, Xing3; Zhang, Yinglong4
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2017-07-05
卷号	263期号:1页码:264-284
关键词	Reaction-hyperbolic system Axonal transport Traveling wave Convergence rate
ISSN号	0022-0396
DOI	10.1016/j.jde.2017.02.033
英文摘要	In this paper, we study a class of nonlinear reaction-hyperbolic systems modeling the neuronal signal transfer in neuroscience. This reaction-hyperbolic system can be regarded as n x n (n >= 2) hyperbolic system. with relaxation. We first prove the existence of traveling wave by Gershgorin circle theorem and mathematically describe the neuronal signal transport. Then for a special case n = 2, we show the traveling wave is nonlinearly stable, and obtain the convergence rate simultaneously by a weighted estimate. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	NSFC[11371349] ; NSFC[11301344] ; Construct Program of the Key Discipline in Hunan Province of China
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000400123300008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25994]
专题	应用数学研究所
通讯作者	Li, Xing
作者单位	1.Hunan Normal Univ, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China 4.Seoul Natl Univ, Dept Math Sci, Seoul, South Korea
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Xing,Zhang, Yinglong. Traveling wave to a reaction-hyperbolic system for axonal transport[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(1):264-284.
APA	Huang, Feimin,Li, Xing,&Zhang, Yinglong.(2017).Traveling wave to a reaction-hyperbolic system for axonal transport.JOURNAL OF DIFFERENTIAL EQUATIONS,263(1),264-284.
MLA	Huang, Feimin,et al."Traveling wave to a reaction-hyperbolic system for axonal transport".JOURNAL OF DIFFERENTIAL EQUATIONS 263.1(2017):264-284.

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