CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH

doi:10.1090/tran/6626

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	CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH
	Ding, Yanheng1 ; Xu, Tian 1,2
刊名	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
	2017
卷号	369 期号:1 页码:97-138
关键词	Reaction-diffusion system singular perturbation concentration
ISSN号	0002-9947
DOI	10.1090/tran/6626
英文摘要	Our purpose is to motivate an analytic characterization aimed at predicting patterns for general reaction-diffusion systems, depending on the spatial distribution involved in the reaction terms. It is shown that there must be a pattern concentrating around the local minimum of the chemical potential distribution for small diffusion coefficients. A multiple concentrating result is also established to illustrate the mechanisms leading to emergent spatial patterns. The results of this paper were proved by using a general variational technique. This enables us to consider nonlinearities which grow either super quadratic or asymptotic quadratic at infinity.
资助项目	National Science Foundation of China[NSFC11331010] ; National Science Foundation of China[11171286] ; Beijing Center for Mathematics and Information Interdisciplinary Sciences
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000388665100004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/24212]
专题	数学所
通讯作者	Xu, Tian
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Xu, Tian. CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2017,369(1):97-138.
APA	Ding, Yanheng,&Xu, Tian.(2017).CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,369(1),97-138.
MLA	Ding, Yanheng,et al."CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369.1(2017):97-138.