流向变换反应器模型解的大时间性态的研究  

Large time behavior of the solutions to the models for a reactor with periodic flow reversal

作　　者：王冬梅[1] 黄晋阳[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2005年第2期85-88,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：教育部重点实验室开放课题(200205)

摘　　要：流向变换反应器周期操作模型一般为非线性反应对流扩散方程的新型定解问题。利用抛物型方程的极值原理得出的方程解的最大模估计,对单方程的流向变换反应器模型解的大时间性态进行了一些分析,证明了当反应交换项关于浓度或温度变量单调递减时其循环定态解的存在性,并且当t→∞时,模型解会趋于循环定态解。The models for reactors with periodic flow reversal are usually nonlinear reaction-convection-diffusion equations with new type definite conditions. In this paper some analyses for were large time behavior of the solutions of the models of scalar equations for reactors with periodic flow reversal were given by the maximum norm estimation from the extremum principle of parabolic equations. It is showed that, if the reaction and exchange term in the model is monotone decreasing in relation to the concentration or temperature variables, there exist the cyclic steady-state solutions of the model and the solution of the model tends to a cyclic steady-state solution of the model as the time goes to infinity.

关 键 词：流向变换 循环定态解 最大模估计 

分 类 号：O175.29[理学—数学] TQ018[理学—基础数学]