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- W2910082851 abstract "We propose a model for multicomponent flow of immiscible fluids in a deformable porous medium accounting for capillary hysteresis. Oil, water, and air in the soil pores offer a typical example of a real situation occurring in practice. We state the problem within the formalism of continuum mechanics as a slow diffusion process in Lagrange coordinates. The balance laws for volumes, masses, and momentum lead to a degenerate parabolic PDE system. In the special case of a rigid solid matrix material and three fluid components, we prove under further technical assumptions that the system is mathematically well posed in a small neighborhood of an equilibrium." @default.
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- W2910082851 date "2019-01-17" @default.
- W2910082851 modified "2023-09-25" @default.
- W2910082851 title "A multicomponent flow model in deformable porous media" @default.
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- W2910082851 doi "https://doi.org/10.1002/mma.5482" @default.
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