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| 潜水污染问题数学模型的广义解 | |
| 引用本文： | 杨晓忠 李开泰. 潜水污染问题数学模型的广义解[J]. 高校应用数学学报(A辑), 1998, 13(2): 119-126 |
| 作者姓名： | 杨晓忠 李开泰 |
| 作者单位： | [1]华北电力大学基础部 [2]西安交通大学理学院 |
| 摘 要： | 讨论了具有混合边界的潜水污染数学模型，在适当条件下，应用Galerkjn方法证明了模型广义解的存在性，并证明了广义解的唯一性和对初边值及自由项的连续依赖性． |
| 关 键 词： | 潜水污染模型 广义解 Galerkin方法 存在唯一性 连续依赖性 |
GENERALIZED SOLUTION TO THE MATHEMATICAL MODELING OF PHREATIC WATER POLLUTION |
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| Yang Xiaozhong. GENERALIZED SOLUTION TO THE MATHEMATICAL MODELING OF PHREATIC WATER POLLUTION[J]. Applied Mathematics A Journal of Chinese Universities, 1998, 13(2): 119-126 | |
| Authors: | Yang Xiaozhong |
| Abstract: | This paper investigates a nonlinear parabolic coupled system with mixed boundary in mathematical modeling of phreatic water pollution.Under some reasonable assumptions on the date and by using Galerkin's methed,the globe existence of the generalized solution to the problem is proved.Moreover,the uniqueness,continuous dependence on the initial boundary values and right terms are studied. |
| Keywords: | Modeling of Phreatic Water Pollution Generalized Solution Galerkin's Method Existence and Uniqueness Continuous Dependence. |
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