DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT

DOI10.3846/mma.2021.12432zbMath1479.35949OpenAlexW3124212842MaRDI QIDQ5016282

Mansur I. Ismailov

Publication date: 13 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2021.12432

zbMATH Keywords

initial-boundary value problemFourier methodinverse coefficient problemMullins' equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10) Fourier series and coefficients in several variables (42B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Temperature-dependent surface diffusion near a grain boundary
• Determination of the time-dependent thermal grooving coefficient
• Groove growth by surface subdiffusion
• Asymptotically self-similar solutions to curvature flow equations with prescribed contact angle and their applications to groove profiles due to evaporation-condensation
• Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves
• Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model
• Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove
• Self-similar grooving solutions to the Mullins’ equation

This page was built for publication: DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT