Viscous Two-Phase Flow in Porous Media Driven by Source Terms: Analysis and Numerics

DOI10.1137/19M1252491zbMath1427.76258OpenAlexW2996618220WikidataQ126557965 ScholiaQ126557965MaRDI QIDQ5206161

Yangyang Qiao, Steinar Evje, Huanyao Wen

Publication date: 18 December 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1252491

zbMATH Keywords

two-phase flowinteraction forcescompressibilityBrinkman equationmixture theoryDarcy's equationviscous coupling

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Maximal regularity for compressible two-fluid system ⋮ On the numerical discretization of a tumor progression model driven by competing migration mechanisms ⋮ Interaction of acceleration wave with a blast wave in two-phase Chaplygin flow driven by source term ⋮ Weak Solutions for a Bifluid Model for a Mixture of Two Compressible Noninteracting Fluids with General Boundary Data

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