An existence result for nonisothermal immiscible incompressible 2-phase flow in heterogeneous porous media

DOI10.1002/mma.4544zbMath1384.35078OpenAlexW2744926847MaRDI QIDQ3134055

Mladen Jurak, Andrey L. Piatnitski, Brahim Amaziane, Leonid S. Pankratov

Publication date: 8 February 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4544

zbMATH Keywords

existenceporous medianonlinear degenerate systemnonisothermal two-phase flowimmiscible incompressible

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Weak solutions to PDEs (35D30) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (6)

Weak solutions of coupled variable-density flows and heat transfer in porous media ⋮ Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media ⋮ Analysis of non‐isothermal multiphase flows in porous media ⋮ Convergence of a finite volume scheme for immiscible compressible two-phase flow in porous media by the concept of the global pressure ⋮ Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media ⋮ Two-phase Two-component Flow in Porous Media in Low Solubility Regime

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