Caffarelli, Luis A.; Gilardi, Gianni Monotonicity of free boundary in the two-dimensional dam problem. (English) Zbl 0513.76090 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 523-537 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 Documents MSC: 76S05 Flows in porous media; filtration; seepage Keywords:porous dam; monotonicity property of flow; two-dimensional stationary; free boundary; several reservoirs PDF BibTeX XML Cite \textit{L. A. Caffarelli} and \textit{G. Gilardi}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 523--537 (1980; Zbl 0513.76090) Full Text: Numdam EuDML References: [1] H.W. Alt , A free boundary problem associated with the flow of ground water , Arch. Rational Mech. Anal. , 64 ( 1977 ), pp. 111 - 126 . MR 428901 | Zbl 0371.76079 · Zbl 0371.76079 · doi:10.1007/BF00280093 [2] H.W. Alt , The fluid flow trhough porous media. Regularity of the free surface . Manuscripta Math. , 21 ( 1977 ), pp. 255 - 272 . MR 449170 | Zbl 0371.76080 · Zbl 0371.76080 · doi:10.1007/BF01167879 · eudml:154467 [3] C. Baiocchi , Su un problema di frontiera libera connesso a questioni di idraulica , Ann. Mat. Pura Appl. , ( 4 ), 92 ( 1972 ), pp. 107 - 127 . MR 408443 | Zbl 0258.76069 · Zbl 0258.76069 · doi:10.1007/BF02417940 [4] C. Baiocchi - A. Capelo , Disequazioni variazionali e quasi variazionali. Applicazioni a problemi di frontiera libera: vol. 1, Problemi variazionali; vol. 2, Problemi quasivariazionali , Pitagora Editrice , Bologna , 1978 . · Zbl 1308.49002 [5] C. Baiocchi - V. Comincioli - E. Magenes - G.A. Pozzi , Free boundary problems in the theory of fluid flow through porous media: existence and uniqueness theorems , Ann. Mat. Pura Appl. , ( 4 ), 97 ( 1973 ), pp. 1 - 82 . MR 342026 | Zbl 0343.76036 · Zbl 0343.76036 · doi:10.1007/BF02414909 [6] A. Friedman - R. Jensen , Convexity of the free boundary in the Stefan problem and in the dam problem , Arch. Rational Mech. Anal. , 67 ( 1977 ), pp. 1 - 24 . MR 473315 | Zbl 0375.35028 · Zbl 0375.35028 · doi:10.1007/BF00280824 [7] L.L. Helms , Introduction to potential theory , Wiley-Interscience , New York , 1969 . MR 261018 | Zbl 0188.17203 · Zbl 0188.17203 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.