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CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH

文献类型：期刊论文

作者Ding, Yanheng1; Xu, Tian1,2
刊名TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
出版日期2017
卷号369期号:1页码:97-138
关键词Reaction-diffusion system singular perturbation concentration
ISSN号0002-9947
DOI10.1090/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
WOS记录号WOS:000388665100004
出版者AMER MATHEMATICAL SOC
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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