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This paper is focused on the generalized Forchheimer flows of isentropic gas,described by a system of two nonlinear degenerating differential equations offirst order. We prove the existence and uniqueness of the Dirichlet problem forstationary problem. The technique of semi-discretization in time is used toprove the existence for the time-dependent problem.

Solvability of the mixed formulation for generalized Forchheimer flows of isentropic gases