The surface diffusion flow with elasticity in the plane

Abstract

In this paper we prove short-time existence of a smooth solution in the plane to the surface diffusion equation with an elastic term and without an additional curvature regularization. We also prove the asymptotic stability of strictly stable stationary sets.

References in corpus (2)

• Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
• Study of island formation in epitaxially strained films on unbounded domains

Cited by in corpus (3)

• Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity
• A unified model for stress-driven rearrangement instabilities
• Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus