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
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.
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”, Math. USSR-Sb., 33:1 (1977), 62–80
\Bibitem{KruSuk77}
\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 Math. USSR-Sb.
\yr 1977
\vol 33
\issue 1
\pages 62--80
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