Two-phase flows through porous media described by a Cahn-Hilliard-Brinkman model with dynamic boundary conditions

DOI10.1007/S00028-024-00999-YMaRDI QIDQ6624906

Andrea Signori, Giulio Schimperna, Pierluigi Colli, Patrik Knopf

Publication date: 28 October 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

zbMATH Keywords

Cahn-Hilliard equationporous mediadynamic boundary conditionsBrinkman equationtwo-phase flowsbulk-surface interaction

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86) Liquid-liquid two component flows (76T06)

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