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流向变换反应器方程组模型解的大时间性态研究
引用本文:于志华,黄晋阳.流向变换反应器方程组模型解的大时间性态研究[J].北京化工大学学报(自然科学版),2009,36(3):113-116.
作者姓名:于志华  黄晋阳
作者单位:北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029
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。

关 键 词:流向变换  偏微分方程组  循环定态解
收稿时间:2008-06-05

Large time behavior of the solutions to partial differental equation system models for reactors with flow revrsal
YU ZhiHua,HUANG JinYang.Large time behavior of the solutions to partial differental equation system models for reactors with flow revrsal[J].Journal of Beijing University of Chemical Technology,2009,36(3):113-116.
Authors:YU ZhiHua  HUANG JinYang
Institution:School of Science, Beijing University of Chemical Technology, Beijing 100029, China
Abstract: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 ...
Keywords:flow reversal  PDE system  cyclic steady-state solution  
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