On a limiting motion and self-intersections for the intermediate surface diffusion flow |
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| Authors: | Joachim Escher Yoshikazu Giga Kazuo Ito |
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| Affiliation: | (1) Institute of Applied Mathematics, University of Hannover, e-mail: escher@ifam.uni-hannover.de, DE;(2) Department of Mathematics, Hokkaido University, Sapporo, e-mail: gir@math.sci.hokudai.ac.jp, JP;(3) Graduate School of Mathematics, Kyushu University, Fukuoka, e-mail: kito@math.kyushu.ac.jp, JP |
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| 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. RID="*" ID="*"Partially supported by the Japan Society for the Promotion of Science, Grant No. 10304010, 12814024. |
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