On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane

Andrea Kubin

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arXiv · 2506.14423

On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane

Andrea Kubin

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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.

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Andrea Kubin. 2025-06-17. On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane. https://arxiv.org/abs/2506.14423

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