摘要
考虑两端无污染的流域中单个污染源的识别问题.该问题的数学模型为一维线性对流反应扩散方程,方程的源项为F(x,t)=(λt)δ(x-s),它表示源项是一个随时间变化的点污染源.在对污染源及测量点的先验假设下,证明了源项识别的唯一性.最后,给出了识别点污染源的计算方法.
In this paper, point source identification is considered for watershed. The mathematical model of this problem is a one-dimensional linear advection-dispersion-reaction equation, which source term is F（x, t）=λ（t）δ（x-s）, where the source term denotes one point source pollution which changes with time. On the prior supposes of source term and the measured points, the uniqueness of source term identification is proved. At last, the computational methods are given to identify the point source.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2006年第2期124-129,共6页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(10561001)
江西省自然科学基金资助项目(0511005)
江西省教育厅科技基金资助项目(2005213)
东华理工学院硕士基金资助项目(DHS0513)
关键词
点污染源
源项识别
时流反应扩散方程
唯一性
计算方法
source identification
advection-dispersion-reaction equation
inverse problem
uniqueness
computational method
