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A new formulation of the dam problem

Published online by Cambridge University Press:  23 November 2005

S. CHALLAL  and
A. LYAGHFOURI
S. CHALLAL
Affiliation:
King Fahd University of Petroleum and Minerals, P.O. Box 728, Dhahran 31261, Saudi Arabia email: [email protected]
A. LYAGHFOURI
Affiliation:
King Fahd University of Petroleum and Minerals, P.O. Box 728, Dhahran 31261, Saudi Arabia email: [email protected]
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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.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 16 , Issue 5 , October 2005 , pp. 583 - 599
Copyright
2005 Cambridge University Press

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