Abstract.
We rigorously prove that the solution surface of the intermediate surface diffusion flow converges to that of the averaged mean curvature flow locally in time as the diffusion coefficient tends to infinity. As an application of this convergence result, we show that the intermediate surface diffusion flow can drive embedded hypersurfaces into self-intersections.
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ID="*"Partially supported by the Japan Society for the Promotion of Science, Grant No. 10304010, 12814024.
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Escher, J., Giga, Y. & Ito, K. On a limiting motion and self-intersections for the intermediate surface diffusion flow. J.evol.equ. 2, 349–364 (2002). https://doi.org/10.1007/s00028-002-8092-z
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DOI: https://doi.org/10.1007/s00028-002-8092-z