流向变换反应器模型解的大时间性态的研究

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。

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

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.