Solution for 4th-order nonlinear axisymmetric surface diffusion by inverse method

DOI10.1016/j.physd.2019.132288zbMath1483.74078OpenAlexW3001192462WikidataQ126301400 ScholiaQ126301400MaRDI QIDQ2077547

Pierluigi Cesana, Dimetre Triadis, Dilruk Gallage, Philip Broadbridge

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132288

zbMATH Keywords

surface diffusionnonlinear PDEsimilarity solutionsinverse methodfourth-order PDE

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Transformations involving diffusion in solids (74N25) Quasilinear parabolic equations (35K59)

Uses Software

• DLMF

Cites Work

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• Similarity solutions of the lubrication equation
• Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff
• Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow
• Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves
• An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces
• Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove
• Some Theorems on the Free Energies of Crystal Surfaces

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