一类聚合模型的定性分析（英文）  

Qualitative Analysis for a Model of Polymerization

作　　者：安晓伟[1,2] 高秋菊[2] 王松敏[2] 

机构地区：[1]天津大学管理与经济学部,天津300072 [2]中国人民武装警察部队学院基础部,河北廊坊065000

出　　处：《南开大学学报（自然科学版）》2015年第6期11-17,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by Aged-middled and Yong Teacher's Reasearch Innovation of the Chinese Peoples Armed Police Force Academy(ZQNJS201523)

摘　　要：研究了一类带齐次Neumann边界条件的反应扩散方程组。该方程组是一类聚合反应模型,不仅对该反应扩散方程组极其稳态方程组进行了先验估计,而且对平衡点的稳定性和不稳定性进行了定性的分析研究。A reaction-diffusion system subject to the homogeneous Neumann boundary condition is studied. The model often appears in the context of polymerization reactions. Besides giving some priori estimates for the reaction-diffusion system and nonnegative steady states, the stability and insta-bility of the equilibrium point is discussed by qualitative analysis.

关 键 词：聚合 反应扩散方程 稳态 Turing不稳定性 

分 类 号：O193[理学—数学]