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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow (Memoirs of the American Mathematical Society)

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Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 June 2018
Listed Since
22 February 2018

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