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- W4385143334 abstract "We propose a mathematical model for the two-phase flow nanoporous media. Unlike classical models, our model suppose that the rock permeability depends on the gradient of pressure. Using usual laws of flows in porous media, we obtain a system of two nonlinear partial differential equations: the first is elliptic and the second is parabolic degenerate. We study a regularized version of our model, obtained by adding a ``vanishing'' term to the coefficient causing the degeneracy. We prove the existence of a weak solution of the regularized model. Our approach consists essentially to use the Rothe's method coupled with Galerkin's method." @default.
- W4385143334 created "2023-07-23" @default.
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- W4385143334 date "2022-02-28" @default.
- W4385143334 modified "2023-09-27" @default.
- W4385143334 title "A nonlinear mathematical model for two-phase flow in nanoporous media" @default.
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- W4385143334 doi "https://doi.org/10.58997/ejde.2022.15" @default.
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