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承压—无压渗流问题弱解的存在性
The Existence of the Weak Solution of Artesian-unconfined Filtration Problem
【摘要】 考虑一般坝的承压无压渗流问题,导出其弱形式问题.用惩罚方法证明了弱形式问题解的存在性,即用Schauder不动点定理证明其惩罚问题的解是存在的,最后证出弱解的存在性.
【Abstract】 The artesian-unconfined filtration problem of a general dam is considered and the weak from of it derived. The existence of the we ak solution is proved by penalty method,i.e. it is proved with Schaud er fixed-point theorem that the solution of the penalty problem exists and finally the existence of the weak solution is done.
【关键词】 弱解;
一般坝;
承压无压渗流;
惩罚方法;
Schauder不动点定理;
【Key words】 weak solution; a general dam; artesian-unconfined filtratio n; penalty method; Schauder fixed-point theorem;
【Key words】 weak solution; a general dam; artesian-unconfined filtratio n; penalty method; Schauder fixed-point theorem;
- 【文献出处】 河北工业大学学报 ,Journal of Hebei University of Technology , 编辑部邮箱 ,2001年06期
- 【分类号】TB114
- 【下载频次】27