CONCENTRATING PATTERNS OF REACTION-DIFFUSION SYSTEMS: A VARIATIONAL APPROACH | |
Ding, Yanheng1; Xu, Tian1,2 | |
2017 | |
发表期刊 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
ISSN | 0002-9947 |
卷号 | 369期号:1页码:97-138 |
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. |
关键词 | Reaction-diffusion system singular perturbation concentration |
DOI | 10.1090/tran/6626 |
语种 | 英语 |
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 |
WOS类目 | Mathematics |
WOS记录号 | WOS:000388665100004 |
出版者 | AMER MATHEMATICAL SOC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/24213 |
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. |
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