| 化学扩散过程中自由边界问题的渐近性及误差估计 |
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| 引用本文： | 陈静.化学扩散过程中自由边界问题的渐近性及误差估计[J].北京化工大学学报(自然科学版),1990(2). |
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| 作者姓名： | 陈静 |
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| 作者单位： | 北京化工学院应用数理系 |
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| 摘 要： | 作者讨论了非稳态化学反应扩散过程中自由边界问题的渐近性及误差估计。在边值是渐近周期的情形下,阐述了近似函数序列在C(Q_T=(0,1)x(0,T)中的渐近周期性,并获得了它与周期弱解一般形式的误差估计。在此基础上,提出了几种特例,证明了非稳态到稳态问题的自由边界的收敛性,并给出了它们之间的误差估计。
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| 关 键 词： | 自由边界问题 渐近性 化学扩散 弱解 收敛性 误差估计 |
Asymptotic Behavior and Error Estimation of a Free Boundary Problem In Chemical Diffusion-Reaction Processes |
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| Chen Jing.Asymptotic Behavior and Error Estimation of a Free Boundary Problem In Chemical Diffusion-Reaction Processes[J].Journal of Beijing University of Chemical Technology,1990(2). |
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| Authors: | Chen Jing |
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| Institution: | Department of Applied Mathematics Physics |
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| Abstract: | Asymptotic behavior and error estimation of the free boundary problem to a unsteady-state chemica ldiffusion-reaction processes was studied. The asymptotic periodicity of approximate function sequence on C((?)_T)(Q_T=(0,1)x(0,T)) and a general error estimation between it and periodic week solution under the situation of asymptotic periodicity for boundary values were elaborated. Based on the above, some special examples were proposed. The convergence of the free boundary from the unsteady-stase to the steady-state problem was fully proved, and their error estimations were given. |
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| Keywords: | free boundary problem asymptotic chemical diffusion weak solution convergence error estimations |
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