EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION

doi:10.12775/TMNA.2019.066

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	EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION
	Ding, Yanheng 1; Xu, Tian 2
	2019-12-01
发表期刊	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN	1230-3429
卷号	54 期号:2 页码:715-750
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.
关键词	Reaction-diffusion system perturbation concentration
DOI	10.12775/TMNA.2019.066
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000522656500017
出版者	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50974
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.