ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

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	ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT
	Cao, Wentao; Huang, Feimin
	2015-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	35 期号:4 页码:945-954
摘要	In this paper, we consider a class of reaction hyperbolic systems for axonal transport arising in neuroscience which can be regarded as hyperbolic systems with relaxation. We prove the BV entropy solutions of the hyperbolic systems converge toward to the unique entropy solution of the equilibrium equation at the optimal rate O(root delta) in L-l norm as the relaxation time delta tends to zero.
关键词	axonal transport relaxation equilibrium convergence rate
语种	英语
资助项目	NSFC[11371349] ; National Basic Research Program of China (973 Program)[2011CB808002]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000359390800011
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20558
专题	应用数学研究所
通讯作者	Cao, Wentao
作者单位	Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Wentao,Huang, Feimin. ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT[J]. ACTA MATHEMATICA SCIENTIA,2015,35(4):945-954.
APA	Cao, Wentao,&Huang, Feimin.(2015).ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT.ACTA MATHEMATICA SCIENTIA,35(4),945-954.
MLA	Cao, Wentao,et al."ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT".ACTA MATHEMATICA SCIENTIA 35.4(2015):945-954.