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.