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Mathematics of the USSR-Sbornik, 1977, Volume 33, Issue 1, Pages 62–80
DOI: https://doi.org/10.1070/SM1977v033n01ABEH002414 (Mi sm2937) 		 
This article is cited in 35 scientific papers (total in 36 papers)

Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods

S. N. Kruzhkov, S. M. Sukoryanskii
English version PDF (1134 kB) Citations (36)
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DOI: https://doi.org/10.1070/SM1977v033n01ABEH002414
Abstract: A system of two second order quasilinear equations (one elliptic and one parabolic) is investigated. Such a system is formed by the equations of two-phase porous flow. Boundary value problems are considered for the system, and existence, uniqueness, and stability theorems are proved for the solutions of the problems in the nondegenerate plane case. A justification is given for some approximate methods of constructing the solutions.
Bibliography: 10 titles.
Received: 04.11.1976
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1977, Volume 104(146), Number 1(9), Pages 69–88
Bibliographic databases:
UDC: 517.946
MSC: 76S05, 76T05, 35J60, 35K55
Language: English
Original paper language: Russian
Citation: S. N. Kruzhkov, S. M. Sukoryanskii, “Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods”, Mat. Sb. (N.S.), 104(146):1(9) (1977), 69–88; Math. USSR-Sb., 33:1 (1977), 62–80
Citation in format AMSBIB
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\by S.~N.~Kruzhkov, S.~M.~Sukoryanskii
\paper Boundary value problems for systems of equations of two-phase porous flow type; statement of the problems, questions of solvability, justification of approximate methods
\jour Mat. Sb. (N.S.)
\yr 1977
\vol 104(146)
\issue 1(9)
\pages 69--88
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=474364}
\zmath{https://zbmath.org/?q=an:0372.35017|0398.35039}
\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 33
\issue 1
\pages 62--80
\crossref{https://doi.org/10.1070/SM1977v033n01ABEH002414}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977GQ33000005}
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  • https://www.mathnet.ru/eng/sm/v146/i1/p69
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:552
    Russian version PDF:238
    English version PDF:24
    References:79
     
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