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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow, Paperback / softback Book

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

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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.

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£68.00

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