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arXiv · 2606.27834

The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme

Andrea Kubin·Anna Kubin
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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.

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Andrea Kubin, Anna Kubin. 2026-06-26. The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme. https://arxiv.org/abs/2606.27834

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