On a variational scheme modeling the anisotropic surface diffusion with elasticity in the plane
Abstract
In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that the initial set is sufficiently regular. This scheme is inspired by the one introduced by Cahn-Taylor [ 15 ] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Solidification and crystal growth phenomena
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 2
- Publication date
- 12 January 2026
- Language
- EN