An anisotropic phase-field model for solid-state dewetting and its sharp-interface limit

DOI10.1088/1361-6544/aa5e5dzbMath1404.76025OpenAlexW2591233746MaRDI QIDQ5346528

Marion Dziwnik, Barbara Wagner, Andreas Münch

Publication date: 24 May 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c41d300764ef111e6b24ee3d770e36ff1dd513d3

zbMATH Keywords

matched asymptotic expansionsfree boundary problemsphase-field modelsharp interface modelexponential asymptoticsdewetting solid films

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Asymptotic expansions of solutions to PDEs (35C20) Free boundary problems for PDEs (35R35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (14)

Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn--Hilliard Equation ⋮ A $\theta$-$L$ Approach for Solving Solid-State Dewetting Problems ⋮ Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities ⋮ A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting ⋮ A regularized model for wetting/dewetting problems: positivity and asymptotic analysis ⋮ A diffuse-interface approach for solid-state dewetting with anisotropic surface energies ⋮ The anisotropic Cahn-Hilliard equation: regularity theory and strict separation properties ⋮ Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions ⋮ A diffuse domain method for two-phase flows with large density ratio in complex geometries ⋮ An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy^† ⋮ Pressure-dipole solutions of the thin-film equation ⋮ A coupled mass transport and deformation theory of multi-constituent tumor growth ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations? ⋮ A $θ-L$ Formulation-Based Finite Element Method for Solving Axisymmetric Solid-State Dewetting Problems

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