EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION
文献类型：期刊论文
| 作者 | Ding, Yanheng1; Xu, Tian2 |
| 刊名 | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 54期号:2页码:715-750 |
| ISSN号 | 1230-3429 |
| 关键词 | Reaction-diffusion system perturbation concentration |
| DOI | 10.12775/TMNA.2019.066 |
| 英文摘要 | This work is devoted to investigations of some interesting aspects of a multi-component Reaction-Diffusion system of the form partial derivative(t)z = D Delta(x)z + M(x)z + W(x)vertical bar z vertical bar(p-2)beta z, z: RxR(N) -> R-2K, N >= 2 where M, W are external potential functions, D and beta are matrices of diffusion coefficients and coupling constants respectively. When the diffusion rate is small, we show that the geometric shapes of the external potential functions will influence the multiplicity of solutions to the system. It is also of interest to know that, for z = (u, v), we shall deal with standard diffusion coefficients D-u > 0 and the incongruent diffusion coefficients D-v < 0 which has generally been overlooked in the study of Reaction-Diffusion systems. |
| 资助项目 | National Science Foundation of China[NSFC11331010] ; National Science Foundation of China[11171286] ; National Science Foundation of China[11601370] ; National Science Foundation of China[11771325] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| WOS记录号 | WOS:000522656500017 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50973]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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. EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2019,54(2):715-750. |
| APA | Ding, Yanheng,&Xu, Tian.(2019).EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,54(2),715-750. |
| MLA | Ding, Yanheng,et al."EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 54.2(2019):715-750. |
入库方式： OAI收割
来源：数学与系统科学研究院
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