A new formulation of the dam problem

被引：2

作者：

Challal, S ^{[1
]}

Lyaghfouri, A ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dhahran 31261, Saudi Arabia

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2005年 / 16卷

关键词：

D O I：

10.1017/S0956792505006418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a heterogeneous dam supplied by two reservoirs, for which we propose a new formulation based on the stream function. Without any monotonicity assumption on the permeability matrix, we prove that the free boundary is a continuous Curve of the form x = phi(y). We also prove the uniqueness of the solution.

引用

页码：583 / 599

页数：17

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