Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove
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Publication:4854110
DOI10.1098/RSPA.1995.0101zbMath0841.35054OpenAlexW2001372602MaRDI QIDQ4854110
P. Tritscher, Philip Broadbridge
Publication date: 8 November 1995
Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1995.0101
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for higher-order parabolic equations (35K35)
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Applications of Integrable Nonlinear Diffusion Equations in Industrial Modelling ⋮ The depth of a steep evaporating grain boundary groove: Application of comparison theorems ⋮ Travelling wave solutions for a thin-film equation related to the spin-coating process ⋮ Grain boundary grooving in a bicrystal with passivation coating ⋮ Fourth order diffusion equations with increasing entropy ⋮ Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order ⋮ Temperature-dependent surface diffusion near a grain boundary ⋮ An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation ⋮ Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves ⋮ Similarity solutions in the theory of curvature driven diffusion along planar curves. II: Curves that travel at constant speed. ⋮ Solution for 4th-order nonlinear axisymmetric surface diffusion by inverse method ⋮ When central finite differencing gives complex values for a real solution! ⋮ DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT ⋮ Groove growth by surface subdiffusion
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