This paper is focused on the generalized Forchheimer flows for slightly compressible fluids, described as a system of two nonlinear degenerating partial differential equations of first order. We prove the existence and uniqueness of the Dirichlet problem for the stationary case. The technique of semidiscretization in time is used to prove the existence for the time-dependent case.
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Research Article| January 23 2020
Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions
Thinh Kieu; Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions. J. Math. Phys. 1 January 2020; 61 (1): 013507. https://doi.org/10.1063/1.5085004
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