一般坝承压──无压渗流问题弱解的一些性质

讨论了一般坝的承压－无压渗流问题弱解的一些性质．

承压—无压渗流问题弱解的存在性

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．

Definite Condition of the Evolutionary p(x)−Laplacian Equation

For the nonlinear degenerate parabolic equations,how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem.In this paper,we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition.