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arXiv · 2212.12487

A uniqueness and stability principle for surface diffusion

Milan Kroemer·Tim Laux
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Abstract

We derive a uniqueness and stability principle for surface diffusion before the onset of singularities. The perturbations, however, are allowed to undergo topological changes. The main ingredient is a relative energy inequality, which in turn relies on the explicit construction of (volume-preserving) gradient flow calibrations. The proof applies to stationary solutions in any dimension and to general smooth solutions in two dimensions.

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Milan Kroemer, Tim Laux. 2023-10-22. A uniqueness and stability principle for surface diffusion. https://arxiv.org/abs/2212.12487

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