KMS Of Academy of mathematics and systems sciences, CAS
Traveling wave to a reaction-hyperbolic system for axonal transport | |
Huang, Feimin1,2; Li, Xing3; Zhang, Yinglong4 | |
2017-07-05 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 0022-0396 |
卷号 | 263期号:1页码:264-284 |
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. |
关键词 | Reaction-hyperbolic system Axonal transport Traveling wave Convergence rate |
DOI | 10.1016/j.jde.2017.02.033 |
语种 | 英语 |
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 |
WOS类目 | Mathematics |
WOS记录号 | WOS:000400123300008 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/25995 |
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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