On a limiting motion and self-intersections for the intermediate surface diffusion flow

Joachim Escher; Yoshikazu Giga; Kazuo Ito

doi:10.1007/s00028-002-8092-z

On a limiting motion and self-intersections for the intermediate surface diffusion flow

Joachim Escher
, Yoshikazu Giga
, Kazuo Ito

Institute of Applied Mathematics

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Pages (from-to)	349-364
Number of pages	16
Journal	Journal of Evolution Equations
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/s00028-002-8092-z
Publication status	Published - 2002

ASJC Scopus subject areas

Mathematics (miscellaneous)

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title = "On a limiting motion and self-intersections for the intermediate surface diffusion flow",

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.",

author = "Joachim Escher and Yoshikazu Giga and Kazuo Ito",

note = "Funding information: ?Partly supported by the Japan Society for the Promotion of Science, Grant No. 10304010, 12814024.",

year = "2002",

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journal = "Journal of Evolution Equations",

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T1 - On a limiting motion and self-intersections for the intermediate surface diffusion flow

AU - Escher, Joachim

AU - Giga, Yoshikazu

AU - Ito, Kazuo

N1 - Funding information: ?Partly supported by the Japan Society for the Promotion of Science, Grant No. 10304010, 12814024.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0347628354

U2 - 10.1007/s00028-002-8092-z

DO - 10.1007/s00028-002-8092-z

M3 - Article

AN - SCOPUS:0347628354

SN - 1424-3199

VL - 2

SP - 349

EP - 364

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 3

ER -

On a limiting motion and self-intersections for the intermediate surface diffusion flow

Abstract

ASJC Scopus subject areas

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