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

作　　者：于志华[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）》2009年第3期113-116,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(10771087)

摘　　要：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.

关 键 词：流向变换 偏微分方程组 循环定态解 

分 类 号：O175.29[理学—数学]