| 多孔介质中非饱和流第二边值问题点源函数的渐进分析 |
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| 引用本文： | 柏瑞.多孔介质中非饱和流第二边值问题点源函数的渐进分析[J].东华大学学报(自然科学版),1990(1). |
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| 作者姓名： | 柏瑞 |
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| 作者单位： | 中国纺织大学基础部数学教研室 |
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| 摘 要： | 在多孔介质中的非饱和流扩散过程,可描述为变系数抛物型方程带流量边界条件的定解问题.我们不可能期望获得此类问题的精确解,而在应用中人们感兴趣的只是这一问题解在较短时间内的特性.为此本文对问题的点源函数,在短时间内作了渐近分析,并给出误差.
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| 关 键 词： | 扩散 点源 多孔介质 不饱和流 点源函数 渐近分析 流量边界条件 变系数 |
ASYMPTOTIC ANALYSIS TO THE POINT SOURCE FUNTION OF SECOND BOUNDARY VALUE PROBLEM OF UNSATURATED FLOW THROUGH POROUS MEDIA |
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| Bo Rui Basic Sciences.ASYMPTOTIC ANALYSIS TO THE POINT SOURCE FUNTION OF SECOND BOUNDARY VALUE PROBLEM OF UNSATURATED FLOW THROUGH POROUS MEDIA[J].Journal of Donghua University,1990(1). |
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| Authors: | Bo Rui Basic Sciences |
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| Institution: | Bo Rui Basic Sciences Department |
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| Abstract: | A diffusion process of unsaturated flow through porous media can be described as a determinate problem of parabolic equation with varying coefficients and impulse boundary condition. It can't be expected to exactly solve this problem.But in some applications people are interested only in the short-time behaviour of the solution of this problem. In this paper an asymptotic solution with error term of the problem is developed for short time. |
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| Keywords: | diffusion point source porous materials unsaturated flow point source function asymptotic analysis flux boundary condition varying coefficients |
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