Coupled surface and grain boundary motion: a travelling wave solution

DOI10.1016/j.na.2004.08.014zbMath1066.34025OpenAlexW2080523391MaRDI QIDQ703426

Arkady Vilenkin, Amy Novick-Cohen, Jacob Isaac Kanel

Publication date: 11 January 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.014

zbMATH Keywords

surface diffusionboundary value problemtravelling wave

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

Grain boundary migration with thermal grooving effects: a numerical approach ⋮ Numerical simulation and linear well-posedness analysis for a class of three-phase boundary motion problems ⋮ A numerical method for coupled surface and grain boundary motion ⋮ Stability of travelling wave solutions for coupled surface and grain boundary motion ⋮ Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order ⋮ Coupled surface and grain boundary motion: a travelling wave solution ⋮ Existence and long-time behaviour of weak solutions for the Mullins equation ⋮ Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles

Cites Work

• Unnamed Item
• Coupled surface and grain boundary motion: a travelling wave solution
• Travelling wave solutions of a fourth-order semilinear diffusion equation
• Stability of cylindrical bodies in the theory of surface diffusion
• Triple-junction motion for an Allen-Cahn/Cahn-Hilliard system
• Coupled surface and grain boundary motion: nonclassical traveling-wave solutions
• Geometric motion for a degenerate Allen-Cahn/Cahn-Hilliard system: the partial wetting case
• Space–Time Finite Element Methods for Surface Diffusion with Applications to the Theory of the Stability of Cylinders

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