A new formulation of the dam problem

S. Challal; A. Lyaghfouri

doi:10.1017/S0956792505006418

A new formulation of the dam problem

S. Challal
, A. Lyaghfouri

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	583-599
Number of pages	17
Journal	European Journal of Applied Mathematics
Volume	16
Issue number	5
DOIs	https://doi.org/10.1017/S0956792505006418
Publication status	Published - Oct 2005
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1017/S0956792505006418

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title = "A new formulation of the dam problem",

abstract = "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=\textbackslash{}phi(y)\$. We also prove the uniqueness of the solution.",

author = "S. Challal and A. Lyaghfouri",

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AU - Lyaghfouri, A.

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AB - 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.

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DO - 10.1017/S0956792505006418

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SP - 583

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JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

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A new formulation of the dam problem

Abstract

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