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 |
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Pages (from-to) | 583-599 |
Number of pages | 17 |
Journal | European Journal of Applied Mathematics |
Volume | 16 |
Issue number | 5 |
DOIs | |
Publication status | Published - Oct 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics