Publication: New remarks on the dam problem
New remarks on the dam problem
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Chipot, M. (1993). New remarks on the dam problem. In J. M. Chadam & H. Rasmussen (Eds.), Emerging applications in free boundary problems (Montreal PQ, 1990) (No. 280; Vol. 280, Issue 280, pp. 2–12). Longman Scientific & Technical. http://www.crcpress.com/product/isbn/9780582087682
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Assuming that the flow has reached a steady state we are concerned with finding the pressure of the fluid and the part of the porous medium, where some flow occurs – i.e. the wet set. Note that the two-dimensional model could describe for instance the steady flow in the cross section Ω of a longitudinal porous medium.
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Chipot, M. (1993). New remarks on the dam problem. In J. M. Chadam & H. Rasmussen (Eds.), Emerging applications in free boundary problems (Montreal PQ, 1990) (No. 280; Vol. 280, Issue 280, pp. 2–12). Longman Scientific & Technical. http://www.crcpress.com/product/isbn/9780582087682