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Initial-boundary value problem for parabolic equation of polytropic filtration type. (Ukrainian. English summary) Zbl 1054.76568

Summary: The initial-boundary value problem for the parabolic equation of polytropic filtration type is investigated. Existence and uniqueness conditions of the solution of this problem are proposed.

MSC:

76S05 Flows in porous media; filtration; seepage
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
35B40 Asymptotic behavior of solutions to PDEs