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Carrillo-Menendez, Jose; Chipot, Michel

On the dam problem. (English) Zbl 0504.35082

J. Differ. Equations 45, 234-271 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 23 Documents

MSC:

35R35 Free boundary problems for PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
76S05 Flows in porous media; filtration; seepage
35A05 General existence and uniqueness theorems (PDE) (MSC2000)

Keywords:

dam problem; porous medium; uniqueness
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\textit{J. Carrillo-Menendez} and \textit{M. Chipot}, J. Differ. Equations 45, 234--271 (1982; Zbl 0504.35082)
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References:

[1] Alt, H.W, A free boundary problem associated with the flow of ground water, Arch. rat. mech. anal., 64, 111-126, (1977) · Zbl 0371.76079
[2] Alt, H.W, The fluid flow through porous media. regularity of the free surface, Manuscripta math., 21, 255-272, (1977) · Zbl 0371.76080
[3] Alt, H.W, Strömungen durch inhomogene poröse medien mit freiem rand, J. reine angew. math., 305, 89-115, (1979) · Zbl 0392.76091
[4] Baiocchi, C, Su un problema di frontiera libera connesso a questioni di idraulica, Ann. mat. pura appl., 92, 107-127, (1972) · Zbl 0258.76069
[5] Baiocchi, C, Free boundary problems in the theory of fluid flow through porous media, (), 237-243
[6] Baiocchi, C, Free boundary problems in fluid flow through porous media and variational inequalities, (), 175-191, Rome · Zbl 0481.76100
[7] Baiocchi, C; Capelo, A, ()
[8] Brezis, H; Kinderlehrer, D; Stampacchia, G, Sur une nouvelle formulation du problème de l’écoulement à travers une digue, C. R. acad. sci. Paris Sér. A, 287, 711-714, (1978) · Zbl 0391.76072
[9] Caffarelli, L.A; Gilardi, G, Monotonicity of the free boundary in the two-dimensional dam problem, Anal. scol. norm. sup. Pisa, 7, 523-537, (1980) · Zbl 0513.76090
[10] Friedman, A; Jensen, R, Convexity of the free boundary in the Stefan problem and in the dam problem, Arch. rat. mech. anal., 67, 1-24, (1978) · Zbl 0375.35028
[11] Gilbarg, D; Trudinger, N.S, Elliptic partial differential equations of second order, (1977), Springer-Verlag New York · Zbl 0691.35001
[12] Schwartz, L, Théorie des distributions, (1966), Hermann Paris
[13] Visintin, A, Study of a free boundary filtration problem by a nonlinear variational equation, Boll. un. mat. ital., 5, 212-237, (1979) · Zbl 0405.76061
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.