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arxiv: 1804.01409 · v1 · pith:CIZTQJECnew · submitted 2018-04-02 · 🧮 math.NA · cs.NA

Existence of a solution for generalized Forchheimer flow in porous media

classification 🧮 math.NA cs.NA
keywords existenceforchheimergeneralizedproblemprovesolutioncompressibledifferential
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This paper is focused on the generalized Forchheimer flows for slightly compressible fluids. We prove the existence and uniqueness of the differential system for stationary problem. The technique of semi-discretization in time is used to prove the existence of solution for the transient problem.

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