A new formulation of the dam problem

S. Challal, A. Lyaghfouri

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)583-599
Number of pages17
JournalEuropean Journal of Applied Mathematics
Issue number5
Publication statusPublished - Oct 2005
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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