The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme
Analysis of PDEs
2026-06-26 v1 Differential Geometry
Abstract
In this paper, we introduce a suitable notion of flat solutions for the anisotropic surface diffusion equation with elasticity in three-dimensions, based on a minimizing movement scheme inspired by that introduced by Cahn and Taylor. Using this scheme, we prove the existence of classical solutions to the equation without using a curvature regularization term. Moreover we establish the consistency of the approximation method.
Cite
@article{arxiv.2606.27834,
title = {The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme},
author = {Andrea Kubin and Anna Kubin},
journal= {arXiv preprint arXiv:2606.27834},
year = {2026}
}