Existence of a solution for generalized Forchheimer flow in porous media

Abstract

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.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1608.08829 by other authors