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EFFECT OF EXTERNAL POTENTIALS IN A COUPLED SYSTEM OF MULTI-COMPONENT INCONGRUENT DIFFUSION
Ding, Yanheng1; Xu, Tian2
2019-12-01
Source PublicationTOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN1230-3429
Volume54Issue:2Pages:715-750
AbstractThis 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.
KeywordReaction-diffusion system perturbation concentration
DOI10.12775/TMNA.2019.066
Indexed BySCI
Language英语
Funding ProjectNational Science Foundation of China[NSFC11331010] ; National Science Foundation of China[11171286] ; National Science Foundation of China[11601370] ; National Science Foundation of China[11771325]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000522656500017
PublisherJULIUSZ SCHAUDER CTR NONLINEAR STUDIES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50974
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Tian
Affiliation1.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
Recommended Citation
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.
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