Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow 1

Vetenskap & teknik

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Gang Zhou • Dan Knopf • Israel Michael Sigal

Pocket

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78 sidor
2018

The authors study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but without assuming rotational symmetry or positive mean curvature, the authors show that mcf solutions become singular in finite time by forming neckpinches, and they obtain detailed asymptotics of that singularity formation. The results show in a precise way that mcf solutions become asymptotically rotationally symmetric near a neckpinch singularity.

Författare: Gang Zhou, Dan Knopf, Israel Michael Sigal
Format: Pocket/Paperback
ISBN: 9781470428402
Språk: Engelska
Antal sidor: 78
Utgivningsdatum: 2018-06-30
Förlag: American Mathematical Society