Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line | |
Yang, Wen1; Wei, Juncheng2 | |
刊名 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS |
2019-03-01 | |
卷号 | 31期号:1页码:385-417 |
关键词 | Multi-bump solutions Gierer-Meinhardt system Fractional Laplacian |
ISSN号 | 1040-7294 |
DOI | 10.1007/s10884-018-9670-2 |
英文摘要 | In this paper we study ground- states of the fractional Gierer- Meinhardt system on the real line, namely the solutions of the problem... (- ) su + u - u2 v = 0 inR, (- ) sv + e2sv - u2 = 0 inR, u, v > 0, u, v. 0, as | x|. 8. We prove that given any positive integer k, there exists a solution to this problem for s. [ 1 2, 1) exhibiting exactly k bumps in its u- component, separated from each other at a distance O( e 1- 2s 4s) for s. ( 1 2, 1) and O(| log e| 1 2) for s = 1 2, whenever e is sufficiently small. After suitable scaling, each bump of u is exactly the same as the unique solution of (- ) sU + U - U2 = 0 in R, 0 < U( y). 0 as | y|. infinity |
资助项目 | NSERC of Canada ; CAS Pioneer Hundred Talents Program[Y8S3011001] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000463592000016 |
资助机构 | NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/13780] |
专题 | 中国科学院武汉物理与数学研究所 |
通讯作者 | Yang, Wen |
作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 2.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada |
推荐引用方式 GB/T 7714 | Yang, Wen,Wei, Juncheng. Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2019,31(1):385-417. |
APA | Yang, Wen,&Wei, Juncheng.(2019).Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,31(1),385-417. |
MLA | Yang, Wen,et al."Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 31.1(2019):385-417. |
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