一类塞流反应器模型正解的存在性  

Existence of Positive Solutions in a Plug Flow Reactor Model

作　　者：刘志强[1] 聂华[1] 吴建华[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《工程数学学报》2009年第1期118-122,共5页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10571115);国家自然科学基金数学天元基金(10726042)

摘　　要：本文考虑了一类较一般的塞流反应器模型。由极值原理给出了模型正平衡态解的先验估计,利用锥映象不动点指标理论及构造同伦映射的方法,并结合特征值理论研究了模型正平衡态解的存在性,得到了模型正平衡态解存在的充分条件。In this paper, a class of more general plug flow reactor model is discussed. A priori estimates for positive steady-state solutions of this model are given by the maximum principle. The existence of positive steady-state solutions of this model is investigated by means of the fixed point index theory in cone, the construction of homotopic maps and the eigenvalue theory. The sufficient conditions for the existence of positive steady-state solutions are established.

关 键 词：塞流反应器 不动点指标理论 正平衡解 

分 类 号：O175.26[理学—数学]