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

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．

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.