Nonstationary filtration in partially saturated porous media
1994 ◽
Vol 5
(3)
◽
pp. 405-429
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Keyword(s):
Nonstationary two-dimensional filtration in a porous medium is considered, whereby part of the medium is saturated, another part is unsaturated but wet, and the remaining part is dry. The saturated/unsaturated and unsaturated/dry interfaces are free boundaries. It is shown that there exists a unique solution, and that the saturation function is continuous in the wet portion of the medium; this implies that the two interfaces are separated. Under some monotonicity-type conditions on the initial and boundary data it is shown that the free boundaries are continuous.
1982 ◽
Vol 79
(3)
◽
pp. 261-265
◽
1992 ◽
1982 ◽
Vol 78
(2)
◽
pp. 173-198
◽
2018 ◽
Vol 191
◽
pp. 300-317
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