On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium

DOI10.1016/j.jmaa.2006.06.012zbMath1106.76068OpenAlexW2067699793MaRDI QIDQ864621

Koffi B. Fadimba

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.012

zbMATH Keywords

weak solutionregularizationtwo-phase flowcompactness argument

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (7)

Time of complete displacement of an immiscible compressible fluid by water in porous media: application to gas migration in a deep nuclear waste repository ⋮ An analysis of Bingham fluid and Jeffrey fluid flow in a horizontal channel with plug flow and heat transfer ⋮ An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media ⋮ Analysis of non‐isothermal multiphase flows in porous media ⋮ Numerical analysis for generalized Forchheimer flows of slightly compressible fluids ⋮ A linear backward Euler scheme for a class of degenerate advection–diffusion equations: A mathematical analysis of the convergence in L^∞(0, T₀;L²(Ω)) and in L²(0, T₀;H¹(Ω)) ⋮ Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media

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