Finite Volume approximation of a two-phase two fluxes degenerate Cahn–Hilliard model

DOI10.1051/m2an/2021002zbMath1492.65250arXiv2005.01554OpenAlexW3130007901MaRDI QIDQ5154008

Clément Cancès, Flore Nabet

Publication date: 1 October 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01554

zbMATH Keywords

convergencetwo-phase flowfinite volumesdegenerate Cahn-Hilliard system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for higher-order parabolic systems (35K52) Finite volume methods for boundary value problems involving PDEs (65N08) Liquid-liquid two component flows (76T06)

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A convergent finite volume scheme for dissipation driven models with volume filling constraint ⋮ A robust solution strategy for the Cahn-Larché equations

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