流向变换反应器方程组模型解的大时间性态研究

Large time behavior of the solutions to partial differental equation system models for reactors with flow revrsal

对流向变换反应器周期操作的非线性反应-对流-扩散偏微分方程组数学模型解的大时间性态进行了分析,定义了对应于此方程组模型的循环定态问题的弱解,在比较符合实际情况的假设条件下,证明了对应的循环定态问题的弱解存在,且时间趋于无穷时模型的解趋于此循环定态问题的弱解。

The large time behavior of the solutions to nonlinear reaction-convection-diffusion partial differential equation （PDE） system models for reactors with flow reversal is investigated. A weak solution corresponding to the cyclic steady-state problems of the PDE system models is defined. And, under assumptions which accord comparatively well with the actual situation, it is proved that there exist weak cyclic steady-state solutions and that the solutions to the models tend to the cyclic steady-state solutions as time goes to infinity.