Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay

DOI10.1051/mmnp:2008073zbMath1337.74039arXiv0805.3545OpenAlexW2127951474MaRDI QIDQ2786734

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Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3545

zbMATH Keywords

dynamicswettingsurface diffusionstability theoryepitaxial solid filmsfilm agglomeration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Dynamics of phase boundaries in solids (74N20) Degenerate parabolic equations (35K65) Transformations involving diffusion in solids (74N25) Analysis of microstructure in solids (74N15)

Related Items (2)

Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films ⋮ Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay

Uses Software

• RADAU

Cites Work

• Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• Curvature and the evolution of fronts
• Removing the stiffness from interfacial flows with surface tension
• A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
• Stiff differential equations solved by Radau methods
• Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay
• A Regularized Equation for Anisotropic Motion-by-Curvature
• Some Theorems on the Free Energies of Crystal Surfaces

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