亚热带高原湖泊水质方程一类自由初边值问题  

A TYPE FREE INITIAL-BOUNDARY VALUE PROBLEM OF THE GONVERNING EQUATIONS OF WATER QUALITY IN SUBTROPICAL PLATEAU LAKES

作　　者：戴正德[1] 屈超纯[1] 王蕾[2] 马生伟[2] 闫自中 

机构地区：[1]云南大学数学系,昆明650091 [2]云南省环境科学研究所,昆明650034

出　　处：《应用数学学报》2002年第2期347-360,共14页Acta Mathematicae Applicatae Sinica

基　　金：云南省应用基础研究基金资助项目

摘　　要：亚热带高原湖泊除了有来自工业、农业,生活污水及落尘的外部污染,还有来自湖泊藻类水生生物循环及底泥的污染物释放内污染源污染.因此,由于进出水量不均衡性导致湖水边界的自由变动.本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型,然后对一类自由初边值问题通过对非柱形边界条件的齐次约化,运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性.Abstract The pollution of subtropical plateau lakes includes both external pollution source that includes sewage from industry, agriculture and living, and the internal pollution source that includes aquatic biological cycle of the algae in the lake and pollutants releasing from the sediment. Hence, the boundary of lake water varies freely due to the disequilibrium between the inflow and the outflow. Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

关 键 词：亚热带高原 湖泊 水质方程 自由初值问题 

分 类 号：X524[环境科学与工程—环境工程] O175.1[理学—数学]