| 环上分支复杂管网系统内不稳定流动的数学模型的广义解 |
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| 引用本文： | 吴小庆,曾自强,江茂泽.环上分支复杂管网系统内不稳定流动的数学模型的广义解[J].西南石油学院学报,1991(1). |
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| 作者姓名： | 吴小庆 曾自强 江茂泽 |
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| 作者单位： | 西南石油学院基础部
(吴小庆)，西南石油学院机械系
(曾自强)，西南石油学院基础部(江茂泽) |
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| 摘 要： | 本文考虑环上分支复杂管网系统内不稳定流动的实际问题,首次建立起偏微分方程组的初边值问题的数学模型,利用线性算子半群的理论得到了问题的解存在唯一的结论,并利用算子级数法得到了问题的广义解。
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| 关 键 词： | 偏微分方程组 初边值问题 线性算子半群 算子级数法 广义解 |
SOLUTION IN WIDER SENSE OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK ON LOOP |
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| Wu Xiaoqing.SOLUTION IN WIDER SENSE OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK ON LOOP[J].Journal of Southwest Petroleum Institute,1991(1). |
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| Authors: | Wu Xiaoqing |
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| Affiliation: | Wu Xiaoqing (Dept. of Basic Courses) Zeng Ziqiang (Dept. of Mechanical Engineering) Jiang Maoze(Dept. of Basic Courses) |
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| Abstract: | In consideration of the practical transient flow of complex branch-like pipeline network on loop, it is the first time that we have presented in this paper the mathematical model, which is a system of partial differential equations with initial conditions and boundary conditions, an initial-boundary value problem. We have proved that the solution of the initial-boundary value problem is existent and unique by the theory of semigroups of linear operators, and we have obtained the solution in wider sense with the operator series method. |
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| Keywords: | System of Partial Differential Equations Initial-boundary Value Problem Semigroup of Linear Operators Operator Series Method Solution in Wider Sense |
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