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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 6, Pages 76–84 (Mi pmtf2561)  
Free-boundary problems for nonlinear models of fluid filtration in inhomogeneous porous media

I. B. Davydkina, V. N. Monakhovb

a Gorno-Altaisk State University, Gorno-Altaisk, 659700
b Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (247 kB)
Abstract: Existence theorems are proved for solutions of problems of nonlinear gravity fluid filtration in regions with specified boundaries of complex geometry. The theory developed can be used to design the underground flow net of a hydraulic structure with specified filtration characteristics.
Keywords: nonlinear filtration, free boundary, simple polygon, existence theorem.
Received: 04.03.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 6, Pages 814–820
DOI: https://doi.org/10.1023/A:1026235720945
Bibliographic databases:
Document Type: Article
UDC: 517.958.532
Language: Russian
Citation: I. B. Davydkin, V. N. Monakhov, “Free-boundary problems for nonlinear models of fluid filtration in inhomogeneous porous media”, Prikl. Mekh. Tekh. Fiz., 44:6 (2003), 76–84; J. Appl. Mech. Tech. Phys., 44:6 (2003), 814–820
Citation in format AMSBIB
\Bibitem{DavMon03}
\by I.~B.~Davydkin, V.~N.~Monakhov
\paper Free-boundary problems for nonlinear models of fluid filtration in inhomogeneous porous media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 6
\pages 76--84
\mathnet{http://mi.mathnet.ru/pmtf2561}
\elib{https://elibrary.ru/item.asp?id=17274853}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 6
\pages 814--820
\crossref{https://doi.org/10.1023/A:1026235720945}
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