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Shanahan, L.L. and Spencer, B.J. (2002) A Codimension-Two Free Boundary Problem for the Equilibrium Shapes of a Small Three-Dimensional Island in an Epitaxially Strained Solid Film. Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, 4, 1-25.
https://doi.org/10.4171/ifb/50

has been cited by the following article:

• TITLE: Derivation of Longwave Evolution Equation for Epitaxially Strained Thin Solid Films

  AUTHORS: Wondimu T. Tekalign, Agegnehu Atena

  KEYWORDS: Thin Films, Evolution Equation, Longwave Approximation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.10, October 28, 2026

  ABSTRACT: We consider a continuum model for the evolution of an epitaxially strained, dislocation-free thin solid film on a deformable substrate. In the absence of vapor deposition, we incorporate isotropic surface and strain energies along with a two-layer exponential wetting model. Applying a thin-film approximation, we successfully derive the corresponding evolution equation.