Self-similar grooving solutions to the Mullins’ equation

DOI10.1090/QAM/1570zbMath1456.35066arXiv1906.06859OpenAlexW3034668201MaRDI QIDQ5146600

Amy Novick-Cohen, Habiba Kalantarova

Publication date: 26 January 2021

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

Full work available at URL: https://arxiv.org/abs/1906.06859

zbMATH Keywords

explicit series solutionsplanar initial conditionsself-similar boundary conditionssurface diffusion motion

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Series solutions to PDEs (35C10) Self-similar solutions to PDEs (35C06)

Related Items (2)

Grain boundary grooving in a bicrystal with passivation coating ⋮ DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT

Uses Software

• DLMF

Cites Work

• Applications of symmetry methods to partial differential equations
• On the motion of a phase interface by surface diffusion
• The special functions and their approximations. Vol. I, II
• Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves

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