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<p>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 [<CitationRef CitationID="CR15">15</CitationRef>] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月12日

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  • A. Kubin

摘要

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.