Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves

DOI10.1090/S0033-569X-09-01086-4zbMath1169.35398OpenAlexW1976970916MaRDI QIDQ3625439

Paul A. Martin

Publication date: 5 May 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-01/S0033-569X-09-01086-4/home.html

zbMATH Keywords

Mellin transformFourier cosine transformsMullins theorythermal grooving

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Free boundary problems for PDEs (35R35)

Related Items (9)

Grain boundary grooving in a bicrystal with passivation coating ⋮ Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model ⋮ Self-similar grooving solutions to the Mullins’ equation ⋮ An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation ⋮ DIFFUSION PROCESSES MODELED WITH HIGHER ORDER DIFFERENTIAL TERMS ⋮ Determination of the time-dependent thermal grooving coefficient ⋮ Solution for 4th-order nonlinear axisymmetric surface diffusion by inverse method ⋮ DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT ⋮ Groove growth by surface subdiffusion

Cites Work

• Unnamed Item
• An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces
• Asymptotic approximations for functions defined by series, with some applications to the theory of guided waves
• Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove

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