On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions

DOI10.3934/cpaa.2016.15.1419zbMath1348.65140OpenAlexW2338299508MaRDI QIDQ324014

Madalina Petcu, Laurence Cherfils

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.1419

zbMATH Keywords

Navier-Stokes equationserror estimatesfinite element methodwell-posednessviscous Cahn-Hilliard equationsbackward Euler scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

On the strong solution of 3D non-isothermal Navier–Stokes–Cahn–Hilliard equations ⋮ Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system ⋮ Pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains

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• New development in freefem++