空间一维的流向变换反应器模型循环定态解的存在性

On Existence of the Cyclic Steady-state Solution of the Spatial One-Dimenson Model for a Reactor with Periodic Flow Reversal

流向变换反应器周期操作的模型一般为非线性反应-对流-扩散方程的新型定解问题.利用抛物型方程组的最大值原理得出的方程组的解的最大模估计,对空间一维的流向变换反应器模型解的大时间性态进行了分析,证明了反应交换项满足一定条件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 a lot of analysis fo large time behavior of the solutions of the spatial one - dimenson model for a reactor with periodic flow reversal was given by the maximum norm estimation from the maximum principle of parabolic equations. It is showed that when the reaction and exchange term in the model satisfied certain conditions, there exist the cyclic steady - state solutions of the model and the solutions of the model tends to the cyclic steady- state solutions of the model as the time goes to infinity.